The Brit hunk, 23 - nicknamed R-Patz - had been partying to celebrate the premiere of his new flick.
An onlooker at the Ivy Club in central London said: "His minder was holding him up all the way to the car and his eyes were pointing in different directions.
"Then he sat in the back holding his head in his hands."
His American girlfriend and Twilight co-star KRISTEN STEWART, 19, was in New York. Earlier in the night Robert - who played blood-drinker Edward in the cult hit - had a headache of a different kind.
He told the audience at his movie Remember Me that he was upset they had had to buy their own snacks. Robert said: "I'm sorry you had to pay for your popcorn - I'm embarrassed. I'll sort it out and make sure you're all reimbursed."
But his promise could leave him with a £10,000 bill as the Leicester Square Odeon is the UK's largest cinema, seating 2,000.