Routh, 28, married the 29-year-old actress Saturday at El Capitan Ranch, according to People magazine and the celebrity news site The Insider. The couple met four years ago.
The bride wore a Junko Yoshioka sheath dress with Chantilly lace and platinum beading, and the groom wore a cashmere suit.
In a People interview in June, Routh called Ford his personal kryptonite, saying, "She brings me to my knees."
Telephone messages left with Routh's publicists, Emily Yomtabian and Simon Halls, weren't returned.
Routh starred in last year's "Superman Returns." Ford starred in the 2004 science fiction film "Outside," and her TV credits include appearances on "Ugly Betty" and "Moesha."
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