Well, in hand to hand combat, while Batman might hold his ground against Cap for a while, he'll eventually lose.

The one reason he has defeated stronger beings is mainly because of his gadgets.

I didn't know it was just hand to hand earlier.

I think Cap's greatest power is what he stands for and his belief in that. I know that sounds kind of corny, but thats why I like Cap. I honestly think that would propell him to win (assuming its just hand to hand)

Is that fanart, or is it by Alex Ross?

Fanart, actually I'm jot quite certain where its from but its definitely not a Alex ross piece.

Well to he fair just like captain america, batmans leading attribute I'd his determination and what he fights for, for all his other physical and mental abilities stem from that one pure attribute.

Also batman si the best stealth combatant on earth, SOOOOOOOOO he cna tkse down cap anytime he wants,cap wouldn't even realize he's there.

Basically in the 90's crossover of Marvel and DC, Batman fought with Captain America.After a battle that lasted days,Batman won and in the end he even saved Captain America

Batmans just way to powerful he can sneak up ok captain america without him even noticing.

Your right about the 90s crossover and Batman even explains how he could lose a fight to captain America.

The onlt reason how captain america could beat Bruce is because the super soldier serium in Steve allows his to have beyond superhuman stamina in other words he doesn't get tired. So a long lasting fight would be in favor of captain america