Did this film won any awards? I wasn't interested on movie awards when this was released so I don't know if it did.

This movie was indeed nominated for many awards, three nominations at the academy awards including Best Cinematography, Best Effects/Sound Effects Editing , and Best Sound. The movie though lost out to all of them, U2's song "Hold me, Thrill me, Kiss me, Kill me" was nominated at the Golden Globes and MTV Movie Awards for "Best Original Song Written for a Motion Picture". The MTV Movie Awards also showed nominations for Best Villain (Jim Carrey and Tommy Lee Jones), Most Desirable Female (Nicole Kidman), and Most Desirable Male (Val Kilmer). Still not winning any awards, this Batman franchise was the one to receive most nominations.

Thanks for the info. I think I've only seen one MTV movie awards and I don't remember awards for most desirable female/male people.