It’s on the front of the NYT’s right now, but no details yet. He was 58 years old.
Update [2008-6-13 15:52:39 by BooMan]: From wiki:
Early reports state that Russert died of an apparent heart attack while recording a production track in Washington, D.C. on June 13, 2008, a day after returning from vacation in Italy. Reports also say he was returning from Boston, where he was celebrating his son’s graduation from Boston College with his family and dog Rover.
Tom Brokaw reported live on NBC and MSNBC at 3:43pm EST that Russert collapsed in the NBC News Bureau in Washington while managing some audio footage.