The former 'Beverly Hills 90210' star met The Rolling Stones rocker at a star-studded awards show after-party in Dublin, Ireland, in 2000.
Jason found himself in Mick and his ex-wife Jerry Hall's hotel suite and shared the herbal drug with the singer and his spouse.
Recalling the experience in his new tell-all book 'Jason Priestly: A Memoir', he revealed: ''Mick and Jerry Hall (were) lounging on a bed, passing a joint back and forth ... (My friend) said, 'Hey, Mick, pass it around.' 'So sorry, love,' he said. Then he got up and handed the joint to me; I took a drag and passed it.''
Jason also recalls his time living with Brad Pitt in 1987 in Hollywood before they found fame.
The 44-year-old actor reveals he and the fellow heartthrob would have a smelly competition over who could go the longest without washing or shaving.
He said: ''Just for fun, we used to have competitions over who could go the longest without showering and shaving. Brad always won. Having to go on an audition meant cleaning up, which is what usually put an end to the streak.''
The actress spoke about raising her 11 year old daughter Matilda in the wake of Heath Ledger's death eight years ago.
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