Damaged engine mounts can lead to vibration and roughness felt in the steering wheel. A rattle in the dash and engine area may also be heard. Replacement of damaged mounts will commonly correct these issues.Google+
Car Problem Reports
Honda Civic Hybrid Bad Engine Mounts May Cause Vibration, Roughness, and Rattle
Honda Civic Hybrid Problem
Average Mileage: 57,765 mi (40,430 mi - 75,100 mi)
Visitor, 2006 Honda Civic Hybrid, 75,100 mi
I had to have the left side mount replaced at 75,200. I had felt the steering and car shaking more than usual shortly before, but I waited since I was close to the 75,000 maintenance. The problem was discovered while in the service center. It cost approximately $600 (mostly labor cost) and replaced what is a molded piece of rubber. I never experienced this problem with any other car, but overall I have had fewer major repair bills than any other car, but when there is a problem, its usually costly.
Visitor, 2005 Honda Civic Hybrid, 40,430 mi
Left upper engine mount replaced at 40,430 miles. Presented as a vibration and low rumble. Again at 83,767 miles with same symptoms. Now am replacing 3 engine mounts and one transmission mount. All these problems identified at the Honda dealership and repaired by dealership.