POWER OF ATTORNEY

            KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned director of
Teledyne Technologies Incorporated, hereby constitute and appoint John T.
Kuelbs, Melanie S. Cibik and Robyn E. McGowan, and each of them, the
undersigned's true and lawful attorneys-in-fact and agents, with full power of
substitution and resubstitution in each, for the undersigned in her name, place
and stead, in any and all capacities (including the undersigned's capacity as an
officer of Teledyne Technologies Incorporated), granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and to execute any and all forms, documents and
instruments which said attorneys-in-fact and agents, or either of them, may deem
necessary or advisable or which may be required under Section 16(a) of the
Securities Exchange Act of 1934, as amended ("Section 16(a)"), and any rules,
regulations or requirements of the Securities and Exchange Commission in respect
thereof, in connection with the acquisition, by purchase or otherwise, or
disposition, by sale, gift or otherwise, of beneficial ownership of shares of
common stock of Teledyne Technologies Incorporated (and any derivative security
relating thereto) by the undersigned, as fully to all intents and purposes as
the undersigned might or could do in person, including specifically, but without
limiting the generality of the foregoing, the power and authority to sign the
name of the undersigned to any Initial Statement of Beneficial Ownership of
Securities on Form 3 ("Form 3"), Statement of Changes in Beneficial Ownership of
Securities on Form 4 ("Form 4") or Annual Statement of Beneficial Ownership of
Securities on Form 5 ("Form 5") to be filed with the Securities and Exchange
Commission in respect of any such transaction, to any and all amendments to any
such Form 3, Form 4 or Form 5, and to any instruments or documents filed as part
of or in connection with any such Form 3, Form 4 or Form 5, and to file such
documents with the Securities and Exchange Commission, any securities exchange
and said corporation; and the undersigned hereby ratifies and confirms all that
said attorneys-in-fact and agents, or either of them, or their or his or her
substitute or substitutes, may lawfully do or cause to be done by virtue hereof.

            The undersigned acknowledges that she is appointing said
attorneys-in-fact and agents solely for the convenience of the undersigned in
complying with the reporting requirements of Section 16(a) and said
attorneys-in-fact and agents shall not be liable to the undersigned for any
action or failure to take action in their capacity as such. The undersigned
shall at all times remain fully and solely responsible for compliance with
Section 16(a), including for determining whether and when any Form 3, Form 4 or
Form 5 must be filed thereunder and the accuracy and completeness of the
information set forth in any Form 3, Form 4 or Form 5 so filed. The undersigned
agrees not to institute any action or suit at law or in equity against said
attorneys-in-fact and agents, or either of them, for any action or failure to
take action pursuant to the power granted hereunder or for any deficiency in any
action so taken. The undersigned further agrees to indemnify and hold said
attorneys-in-fact and agents and each of them harmless from any damages, losses,
costs or expenses incurred by them as a result of any action taken or any
failure to take action in their capacity as such or for any deficiency in any
taken.

            IN WITNESS WHEREOF, I have subscribed these presents on the date set
opposite my name below.

Date:    As of July 25, 2006              /s/ Wesley W. von Schack
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                                          Wesley W. von Schack
                                          Director


Witness:
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