As of August 2012, Serena Williams has won 14 major Singles titles. She has won the Australian Open 5 times (2003, 2005, 2007, 2009, 2010), Wimbledon 5 times (2002, 2003, 2009, 2010, 2012), the US Open 3 times (1999, 2002, 2008) and the French Open once (2002).
She has also won 13 Ladies' Doubles major titles; with these coming 5 times at Wimbledon (2000, 2002, 2008, 2009, 2012), 4 times at the Australian Open (2001, 2003, 2009, 2010), 2 times at the French Open (1999, 2010) and also twice at the US Open (1999, 2009). All of these victories came alongside her sister, Venus.
She has also won 2 Mixed Doubles major titles, with these both coming in 1998 at Wimbledon and the US Open.
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Serena Williams has won The French Open 2 times. The first in 2002 and the second one in 2013.
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According to Wikipedia (refer to the link, below), as of April 6, 2009, Serena Williams has won 14 tennis championships.
Serena Williams Has Now Officially Won 13 Single Wimbledon Championships 07/03/2010