Formal:
* Donnez-moi votre carte. (This is the most literal and formal way to say it)
Informal:
* Passe-moi ta carte. (This is more informal and suitable for friends or people you know well)
* Peux-tu me donner ta carte ? (This is a polite request, but still informal)
If you're asking for a business card:
* Pourriez-vous me donner votre carte de visite ? (This is a polite and formal request for a business card)
Choose the translation that best suits your situation and the relationship you have with the person you are talking to.