NFL Star Deion Branch -- Like Pulling Teat

New England Patriots wide receiver Deion Branch got milk -- and he proved it last week at a dairy farm in Massachusetts ... filling a fat bucket with some freshly-squeezed moo juice.

The milking stunt was filmed at Jordan Dairy Farms in Rutland as part of a video campaign by Lactaid -- to show people lactose-free milk comes from real cows.

The cow's name is Ripley -- and Deion tells us his new lady friend "was bigger than the front seven on most NFL teams."