Exhibit 13

CERTIFICATION PURSUANT TO

RULE 13a-14(b)/RULE 15d-14(b) UNDER THE
EXCHANGE ACT

AND 18 U.S.C. SECTION 1350

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report on Form 20-F of ViryaNet Ltd. (the Registrant) for the year ended December 31, 2012
as filed with the Securities and Exchange Commission on April 29, 2013 (the Report), the undersigned, Memy Ish-Shalom, President and Chief Executive Officer of the Registrant, Samuel HaCohen, Executive Chairman of the Registrant,
and Yohanan Engelhardt, Chief Financial Officer of the Registrant, hereby certify, pursuant to Rule 13a-14(b)/Rule 15d-14(b) under the Securities Exchange Act of 1934, as amended and 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of our knowledge:



|1. | The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and
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|2. | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Registrant.
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|By: |  | /s/ Memy Ish-Shalom                                                                                
|    |  | Memy Ish-Shalom                                                                                    
|    |  | President and Chief Executive Officer (serving as co-principal executive officer of the Registrant)
|    |  | April 29, 2013                                                                                     
|    | 
|By: |  | /s/ Samuel HaCohen                                                                                 
|    |  | Samuel HaCohen                                                                                     
|    |  | Executive Chairman (serving as co-principal executive officer of the Registrant)                   
|    |  | April 29, 2013                                                                                     
|    | 
|By: |  | /s/ Yohanan Engelhardt                                                                             
|    |  | Yohanan Engelhardt                                                                                 
|    |  | Chief Financial Officer                                                                            
|    |  | April 29, 2013                                                                                     

A signed original of this written statement required by Section 906 of the Sarbanes-Oxley Act of 2002 has been
provided to the Registrant and will be retained by the Registrant and furnished to the Securities and Exchange Commission or its staff upon request.