Police say the two set off the blasts on a street where the U.S. cultural center is located.
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The Associated Press says a woman was wounded in one of the explosions.
On Tuesday, a man blew himself up when police burst into an apartment as part of an investigation into a March 11 suicide bombing at an Internet cafe in Casablanca that wounded four people.
A second suspect was shot to death before he could detonate his explosives. A third man fled and later blew himself up.
Some information for this report was provided by AFP, AP and Reuters.