And the couple decided on a very unusual name for the youngster, who was born in London earlier this week.
The pair decided on Lula RosyLea, choosing RosyLea after the cockney rhyming slang term for 'cup of tea'.
Twice as nice: Bryan Adams and partner Alicia Grimaldi have welcomed their second daughter into the world
Bryan explained the unusual choice of name as he announced the happy news on his Facebook page on Thursday.
He wrote: 'My second daughter Lula RosyLea arrived at tea time this week. The name Lula comes from Gene Vincent‘s 1958 song ‘Be-Bop-A-Lula and Rosylea is a play on the expression 'a rosie lee' which is cockney rhyming slang in London for ‘a cup of tea’.'
London calling: The couple have named their newborn Lula RosyLea, after a Gene Vincent song and cockney rhyming slang term
Sharing his joy: Bryan announced the very happy news on his official Facebook page
The couple are sticking to a trend in naming their children - they also called their first daughter after the time she was born, choosing 'Bunny' because she was born over Easter.
At the time the musician said: 'I'm really proud to announce on 22 April, Mirabella Bunny was born. Mother and baby are both well and happy. Thanks in advance for your kind thoughts and wishes.
Doting dad: Bryan and his partner have named both their daughters after the time they were born
Alicia is one of the trustees of the rock star turned