Document:

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                                                                    EXHIBIT 10.5
                                                                    ------------
Rental Agreement

Between:

Verisity Design, EURL                   For Verisity Design, EURL
BC La Grande Arche
92044 Paris La Defense
FRANCE

Represented by Mr. Matthew Morley
--referenced hereafter as THE CUSTOMER--

and

IOM Business Center GmbH
Stefan-George-Ring 2
81929 Munchen
Germany

--referenced hereafter as IOM--

1.   The company IOM agrees to rent office space for a fully serviced office to
     the CUSTOMER.

1.1  Office description/Humboldtstr. 12
     One office, fully furnished; total size = 17.5 m2    DM 1,400.00
     2 ISDN Telephones and 2 further lines included
     (1) parking                                            DM 140.00
     Prices on monthly base + VAT

1.2  The office space may only be used for office type work. Without the written
     permission of IOM the office space may not be used for the following
     purposes:

1.3  Office Usage
     Usage for the following purposes is not allowed:
     .  The manufacturing and/or storage of dangerous goods (i.e. gasoline)
     .  the storage of materials or objects which could damage the office space
        and/or persons in the office space
     .  Private parties, advertising campaigns, and large receptions
     .  Renting or leasing to a third party
     .  Bringing in animals
     .  Electrical installations in the office, as coffee-machine and others.

    In addition:

    .   Structural network changes or any other changes are only allowed with
        the written permission of IOM

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    .  The CUSTOMER allows access to the office space if required by IOM
       employees
    .  The CUSTOMER has the permission to use the rented office space as
       described in paragraph 1.1, no other office space is covered by this
       contract.

1.4  IOM is not responsible for any stored business contracts, papers, equipment
     or other materials.

2.   Competition
     The CUSTOMER may not operate a business in the rented office which is in
     direct competition with IOM

3.   Opening Hour
     The switchboard opening hours are on Monday -- Thursday from 09:00 through
     to 17:00, and on Friday from 09:00 through to 15:00. English speaking staff
     is available. Incoming calls are answered in English. On German public
     holidays, the switchboard is closed. The CUSTOMER can use the rented office
     at any time.

4.   Cleaning of Office
     IOM assumes responsibility for the general cleaning of the office. Paper
     bins will be emptied from Monday to Thursday.

5.   Office + Telephone Service
     As described in point 1.1, all incoming calls will be answered and all
     messages appropriately conveyed to the CUSTOMER.

     IOM assumes responsibility for the following:
     --fully serviced office
     --occupied switchboard
     --answering of incoming calls and conveyance of information.

     Secretarial work such as, typing, translation, conveyance of information in
     absence of the CUSTOMER, the sending of faxes and similar work, will be
     charged at a rate of DM 60 + VAT per hour. The charging rate is calculated
     on every started ? minute period.
     For packages, the costs of the courier service will be invoiced. VAT is
     charged on all prices.

6.   Rental Payments
     The rent is payable on the 3/rd/ day of each month.
     In addition this contract can be immediately terminated by IOM if the
     CUSTOMER can no longer pay the agreed rent. The CUSTOMER's deposit can be
     used by IOM to pay any outstanding debts and unpaid invoices the CUSTOMER
     may have with IOM.
     The rent is to be paid in the full sum and without any deductions of
     banking fees.

7.   Furnishing and Fittings
     Upon moving out, the CUSTOMER must pay for any necessary renovation.

                                      -2-
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8.   Fax Costs
     Incoming faxes at reception are free of charge, for outgoing faxes the
     CUSTOMER will be charged DM 0,80 per unit.
     Telephone Units
     DM 0,15 per Unit + VAT

9.   Secretarial Service
     All provided services can be used during normal office hours. Photocopying
     can also be performed outside of the normal office hours by the CUSTOMER
     Stamps -- 10% Overhead

10.  Duration of Contract
     This contract starts at 1/st/ October 1999 for a period of 6 months. The
     contract will be automatically renewed for a period of 6 months, if the
     contract is not cancelled 3 months prior to expiration. Termination of
     contract must be in written form and by a registered letter.

11.  Escape Clause.
     If IOM cannot provide additional office space to the Customer when needed,
     then the Customer is free from rental payments and any subsequent
     renovation costs.

     IOM is entitled to terminate this agreement with the CUSTOMER if an
     exceptional reason arises. For instance a breach of contract as described
     in point 1.3, or when the rental contract for IOM is terminated. The
     contract can be immediately terminated when the CUSTOMER is more than 3
     weeks in arrears with the settlement of invoices.

12.  Business relationship/Liability
     IOM will not act on the CUSTOMER's behalf as an agent or deputy or
     representative of the CUSTOMER's company.
     The CUSTOMER's company frees the IOM from claims of a 3/rd/ party.

13.  Payments of Services
     IOM will present the invoice to the CUSTOMER at the beginning of the month
     for the rent of the office, and at the end of the month for all other costs
     and services.

14.  Extra Costs
     All extra costs such as, bills paid by IOM on behalf of the CUSTOMER,
     courier services, parcel delivery, etc. will be invoiced to the CUSTOMER.
     These costs are not included in the rental and secretarial costs.

15.  Deposit
     A deposit of 3 months net amount is to be paid by the CUSTOMER to IOM. The
     deposit serves as an insurance for IOM for this contract and in case of
     extraordinary circumstances. The deposit, if not used by IOM to cover this
     contract, will be paid back to the CUSTOMER without interest on closure of
     this contract.

     The deposit shall be paid onto the following bank account from IOM:

                                      -3-
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     Bank:  Deutsche Bank
     Bank number:  700 700 10
     Account number:  53 82 700

16.  Authority/Approvals
     The CUSTOMER agrees to carry the cost of all necessary legal prerequisites
     required by the CUSTOMER to operate from within the rented office. In
     addition the CUSTOMER agrees to abide by all the required regulations which
     allow the CUSTOMER to operate.

17.  Insurance
     The CUSTOMER agrees to pay for a suitable insurance for his own equipment.

18.  Conveyance of Information
     Incoming post will be accepted by IOM on behalf of the CUSTOMER and will be
     either stored in the CUSTOMER's in-tray, opened and processed, or handed on
     by the post or fax as agreed upon. Registered letters will be accepted on
     behalf of the CUSTOMER so long a valid postal proxy exists. IOM cannot be
     held responsible for any lost post.

19.  Cost of Services
     The following costs for services can be calculated as follows:
     Photocopying - per copy DM 0.30;
     Faxes -- per outgoing fax DM 0.80 per unit (at the reception)
     Secretarial work -- DM 60/hour.

20.  Key to Office
     The CUSTOMER receives one set of keys for each permanent employee of the
     CUSTOMER'S company.  Deposit each set = DM 100.00.

21.  Office Doors
     It is not allowed to attach stickers albeit advertisements or company logos
     to the office doors.

22.  Amendments to Contract
     Amendments to this agreement and to this clause as such are effective in
     writing only.

23.  Court of Jurisdiction
     This contract is amenable to the law of the Federal Republic of Germany.
     Jurisdiction shall be Munich.

24.  General Clause
     Should a clause or paragraph of this contract become invalid or be invalid,
     or should this contract be incomplete, the rest of the contract remains
     valid and intact.

25.  Couriers/Catering
     Companies, which are wellknown by IOM, will handle overnight couriers,
     beverage, Catering and more.

                                      -4-
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26. Starting Time:  1.10.99

/s/ Matthew Morley                     /s/ indecipherable
---------------------                  ---------------------------
Verisity Design, EURL                  IOM Business Center GmbH

                          Munich, 15th September 1999

                                      -5-<PAGE>

                                                                    EXHIBIT 10.6
                                                                    ------------

                                                        [IOM Letterhead]

Additional Agreement

between Verisity GmbH (Verisity Design) and IOM Business Center GmbH

of May 8, 2000.

Verisity rents, starting on June 1, 2000, another office of [an area of] 17.5
square meters for two persons at a [rent] price of DM 1,800.00 per month.

Security deposit:   DM 3 x monthly rent net (3x DM 1,800.00 = 5,400.00)

The agreement tenor corresponds with the main agreement of October 1, 1999.

All points of the main agreement remain valid to their full extent.

Signed:        Verisity GmbH                 IOM Business Center

               /s/ A.B.J. Rudolf             /s/ Sonja Schneider
               as discussed and agreed by
               Coby Hanoch
               /s/ Coby Hanoch

                                      -1-<PAGE>

                                                                    EXHIBIT 10.7
                                                                    ------------

Business Address and Message Service or Meeting Place for outside clients
        THIS LICENSE is made the __________ day of _____________ 2000.

        BETWEEN CHANCERY COURT BUSINESS CENTRE LIMITED whose registered office
is situate at Cowley Business Park High Street Cowley Uxbridge Middlesex  UB8
2AL (hereinafter called "the Licensor") of the one part and VERISITY DESIGN,
EURL of BC La Grande Arche 92044 Paris La Defense France (hereinafter called
"the Licensee") of the other part

        WHEREBY IT IS AGREED as follows:

1.  The Licensor HEREBY GRANTS to the Licensee the non-exclusive right to enter
    the premises situated at and known as Chancery Court Business Centre
    Lincolns Inn Lincoln Road High Wycombe Buckinghamshire HP12 3RE (hereinafter
    referred to as "the premises") during the Working Hours of 9 am until 5 pm
    (exclusive of Saturdays Sundays and all other Public and Office Holidays)
    and (subject to specific availability and consent and by prior arrangement
    with Reception) shall be permitted to use such conference room or rooms as
    may be allocated from time to time subject to clause 5 hereof

2.  This Licence shall be for a period commencing on the 1st day of August 2000
    and expiring on the 31st day of January 2001 PROVIDED that the Licensee or
    the Licensor may by not less than one month's notice in writing terminate
    this Licence at an earlier date

3.  The Licensee has paid the Licensor a Deposit of Three hundred pounds
    (300.00) and shall pay One hundred and fifty pounds (150.00) + VAT per
    calendar month in advance on the first day of each month ("the Licence Fee")

4.  The Deposit shall be retained by the Licensor and returned to the Licensee
    following the termination of the Licence after settlement of all fees and
    charges including charges to repair damage caused by the Licensee or his/its
    servants or agents during the period of this Licence

5.  The Licensee shall not do or permit or suffer anything to be done which may
    be or cause a nuisance or annoyance to the Licensor or the occupier of any
    adjoining or other nearby premises and shall not use the premises or any
    part of the premises for any purpose other than as a Business Address and
    Message Service or Meeting Place

6.  The Licence shall be personal to the Licensee and shall not be assignable
    and shall terminate automatically

          AS WITNESS the hands of the parties hereto

SIGNED by ANN WARD                    SIGNED by
on behalf of the Licensor             on behalf of Licensee

/s/ Ann Ward                          /s/ indecipherable
---------------------------------     -------------------------------

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