According to IESB, J.J. Abrams may be close to selecting an actor to fill the role of James T. Kirk in the upcoming Star Trek:

We have been hearing his name for weeks but in the last couple of days the rumor has picked up steam with tips from several inside sources. The IESB has been told that 28-year-old Pennsylvania native Mike Vogel (Poseidon, The Texas Chainsaw Massacre) is the front runner to play James T. Kirk in the 11th Star Trek film.
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The site called Paramount and various agencies to verify the reports and although no one gave a firm confirmation, two studio insiders have confirmed that he is indeed the fore runner for the coveted role.

Casting thus far for the 11th Star Trek film has Zachary Quinto as young Mr. Spock, Leonard Nimoy reprising the role that he made famous as the older Mr. Spock, Zoe Saldana as Uhura originally played by Nichelle Nichols and Anton Yelchin as Pavel Chekov originally played by Walter Koenig.

William Shatner played Captain James T. Kirk in the original series and feature films.

Star Trek arrives in theatres on December 25, 2008.