The Hollywood Reporter stated that negotiations began earlier today. Christopher Nolan, director of Batman Begins and The Dark Knight, is a producer on Superman, and had reportedly been considering a list of candidates including Snyder, Tony Scott and Duncan Jones.
Darren Aronofsky was also among the list of directors considered; but it was reported last week that he's being targeted to direct a big-screen adaptation of DC/Vertigo's acclaimed mature reader series Preacher.
Snyder has directed two prior comic book adaptations: Frank Miller's 300 in 2007, and the 2009 adaptation of seminal DC miniseries Watchmen. His animated fantasy Legend of the Guardians: The Owls of Ga'Hoole is now in theaters, with spring 2011's Sucker Punch his next project scheduled for release.