If you want to give your cat milk then buy milk specially formulated for cats that is free from lactose. Cats will be happy enough just given water to drink though.
[header] How to avoid poisoning your cat [title] Don't feed cats dairy products. [step] Cats and cream or milk seem to go hand in hand. We picture a cute cat lapping from a bowl of milk, but in reality, cats cannot properly digest dairy products and it can give them a stomach upset.