The Danish cartoonist, who has received several death threats since a Danish newspaper four years ago published his drawing featuring Mohammed wearing a turban in the shape of a bomb, was at home in Viby near the western city of Aarhus when the 27-year-old and two others tried to get in, daily Politiken reported online.
Guards repulsed the three intruders as security alarms were set off, and the wounded man was hospitalised.
Denmark's Ritzau news agency said a dozen police vehicles were at the scene while sappers were sent in to look for a bomb that might have been laid.
Contacted by AFP, Jutland police confirmed an incident near the home of the 74-year-old cartoonist but refused to give details pending the release of a statement later.
The 12 cartoons were considered offensive by many Muslims and their publication sparked violent protests worldwide in January and February 2006.
Demonstrators burned Danish flags in protests that culminated in February 2006 with the torching of Danish diplomatic offices in Damascus and Beirut and dozens of deaths in Nigeria, Libya and Pakistan.