The aircraft, adorned with a picture of the candidate's smiling face and the slogan "America Needs Romney," was traveling from Boca Raton to the North Perry Airport in Pembroke Pines Sunday when the winds hit, The Miami Herald reported.
The pilot brought the aircraft down in Davie, next to a park, the South Florida Sun Sentinel reported.
"The winds were so strong it was pushing them west," said Davie police spokesman Capt. Dale Engle. "They were trying to drive east but they couldn't push into the wind."
Two people aboard the aircraft were uninjured, Engle said.