Dutchman Van Bommel, who joined Bayern in 2006 from Barcelona, has been instrumental in the team's run to the Champions League quarter-finals and their return to the top of the Bundesliga standings this season.
Bayern are also in the German Cup semi-finals.
"It was my wish to extend it by a year," the 32-year-old defensive midfielder said in a statement.
"I want to be successful with the team and win titles. This is our goal for this year and the next," van Bommel said.
Bayern general director Karl-Heinz Rummenigge said: "In the past years, but especially in the past months, Mark has been a good, important and stable guarantor of success.
"We are very happy to have agreed to an extension before these tough weeks that lie ahead."
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