**EXHIBIT 31.1**

**CERTIFICATION OFCHIEF EXECUTIVE OFFICER PURSUANT TOSECTION 302 OF THE SARBANES-OXLEY ACT OF 2002**

I, Krish A.Prabhu, certify that:

1.                           I havereviewed this quarterly report on Form 10-Q of Tellabs, Inc.;

2.                           Basedon my knowledge, this report does not contain any untrue statement of amaterial fact or omit to state a material fact necessary to make the statementsmade, in light of the circumstances under which such statements were made, notmisleading with respect to the period covered by this report;

3.                           Basedon my knowledge, the financial statements, and other financial informationincluded in this report, fairly present in all material respects the financialcondition, results of operations and cash flows of the registrant as of, andfor, the periods presented in this report;

4.                           Theregistrant’s other certifying officers and I are responsible for establishingand maintaining disclosure controls and procedures (as defined in Exchange ActRules 13a-15(e) and 15d-15(e)) and internal control over financialreporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f))for the registrant and have:

a)                    designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the registrant, including its consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this report is being prepared;

b)                   designed suchinternal control over financial reporting, or caused such internal control overfinancial reporting to be designed under our supervision, to provide reasonableassurance regarding the reliability of financial reporting and the preparationof financial statements for external purposes in accordance with generallyaccepted accounting principles;

c)                    evaluated theeffectiveness of the registrant’s disclosure controls and procedures andpresented in this report our conclusions about the effectiveness of thedisclosure controls and procedures, as of the end of the period covered by thisreport based on such evaluation; and

d)                   disclosed inthis report any change in the registrant’s internal control over financialreporting that occurred during the registrant’s most recent fiscal quarter thathas materially affected, or is reasonably likely to materially affect, theregistrant’s internal control over financial reporting; and

5.                           Theregistrant’s other certifying officers and I have disclosed, based on our mostrecent evaluation of internal control over financial reporting, to theregistrant’s auditors and the audit committee of registrant’s board ofdirectors:

a)                    allsignificant deficiencies and material weaknesses in the design or operation ofinternal control over financial reporting which are reasonably likely toadversely affect the registrant’s ability to record, process, summarize andreport financial information; and

b)                   any fraud,whether or not material, that involves management or other employees who have asignificant role in the registrant’s internal control over financial reporting.
| Dated: May 9, 2006 |   | *** ***            |
|--------------------|--------|-------------------------|
|               |   | *** ***            |
|               |   | ***/s/ Krish Prabhu***  |
|               |   | Krish Prabhu            |
|               |   | Chief Executive Officer |

 

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