A log gripping attachment for a tree grinder includes a first thumb or jaw section pivotally mounted to the support frame of the grinder. There is a complementary second jaw section carried by the support frame and pivotally opposing the first jaw section. A drive mechanism selectively pivots the first jaw section open relative to the second jaw section such that a log may be received between the first and second jaw sections. The jaw driving mechanism may be alternately operated to pivot the first jaw section closed relative to the second jaw section. As a result, a log between the first and second jaw sections is gripped by the opposing jaw sections.