Solomon Grundy's primary asset is his monstrous strength and stamina. As with his intelligence and personality, his degree of strength and invulnerability change with each incarnation. In some incarnations, he has proven more than a match for Superman, while in others, Batman has injured him with punches and kicks. Although Grundy appears to be a zombie, and his body is composed at least partially of decayed plant matter, he can be injured or killed in the same manner as a human (although his ability to endure injury is superhuman). He has been temporarily disabled by great quantities of electricity, and Batman has caused him pain and injury with both fisticuffs and chemical weapons.
Most recently, Grundy has clashed with the Justice Society of America several times, and has developed an unhealthy obsession with JSA member Stargirl.
in a JLU (maybe JLA) episode, batman whooped his a$$ with just fighting and agility