
The film, which stars Mark Wahlberg and a teddy bear voiced by Seth MacFarlane, made $32.9m (£20.9m) between Friday and Sunday, according to studio estimates. "Family Guy" creator Seth MacFarlane, directed, co-wrote and co-produced both films.
Jurassic World and Inside Out made $54.2m (£34.5m) and $52.1m (£33.1m) respectively over the same period.
Canine drama Max, another new release, made its bow-wow in fourth place.
The film, about a military dog afflicted with post-traumatic stress disorder (PTSD), made $12.2m (£7.7m) in its first three days in North American cinemas.
'Competitive'
Ted 2's opening weekend tally is no disgrace for a film rated R, which requires under 17s to be accompanied by an adult parent or guardian.
Yet the Universal release had been expected to perform better given the success of its 2012 predecessor, which took almost $550m (£350m) at the worldwide box office.

Jurassic World, which was also produced by Universal Pictures, has now spent three weekends as the US and Canada's number one film.
The fourth installment in the resurrected dinosaur franchise has now made more than $1 bn (£637m) at the worldwide box office.
Ted 2, in which the title character is a foul-mouthed and hard-drinking bear, returns to the silver screen in a sequel to the 2012 comedy hit about a man (Mark Wahlberg) and his talking teddy. Ted also known for his womanizing, is married to his girlfriend Tami-Lynn and the couple want to have a baby. The movie opens in the UK and Ireland on 8 July. Besides Mark Wahlberg this installation also sees appearances from Liam Neeson and Morgan Freeman.
Inside Out, an animated feature in which much of the action takes place inside a young girl's head, makes its UK and Ireland debut two weeks later. -The Guardian