Georgios Samaras then brought a fine save from Edwin van der Sar with a crisp volley.
BBC: Wayne Rooney celebrates putting Man Utd ahead in the derby
Anthony Stokes had made his Celtic debut after arriving from Hibernian, replacing Georgios Samaras beside Murphy up front.
Scott McDonald was twice thwarted by keeper Frank Rost and Barry Robson and Georgios Samaras wasted decent chances.
Josh Thompson blazed a shot over the bar after Georgios Samaras had nodded down a Lee Naylor corner.
Celtic responded with their captain for the night Georgios Samaras powering a header wide from a Ledley delivery.
On the hour City were 3-1 down and goals from Georgios Samaras and Joey Barton were merely a consolation.
Moments later, Georgios Samaras burst clear down the opposite side but Schwarzer denied the Greek striker from a tight angle.
However, Celtic settled and Georgios Samaras had a low drive from 12 yards turned round the post by goalkeeper Dani Mallo.
Celtic manager Tony Mowbray had sprung a surprise ahead of kick-off by dropping striker McDonald and starting Fortune up front along with Georgios Samaras.
Georgios Samaras was selected as the lone striker and the Greek won an early free-kick that was blazed well over the top by Ki.
Celtic had their second-half chances and Georgios Samaras hit the post.
But Neil Lennon's side levelled when Emilio Izaguirre's deflected cross was nodded on by Georgios Samaras and Ledley arrived to glance the ball past Alexander.
Gary Hooper came off the bench to seal Celtic's victory, finishing well at the end of a one-two with Georgios Samaras eight minutes from the end.
Brown had returned to the Celtic midfield in place of Ki Sung-Yeung, while Charlie Mulgrew, Shaun Maloney and Cha Du-Ri came in for Mark Wilson, Georgios Samaras and the injured Emilio Izaguirre.
"Tony will be happy with the result against Hapoel - there's a lot of positives to take from the overall performance, " said Collins after the victory following goals from Georgios Samaras and Barry Robson.
Dimitar Berbatov had given United a 30th-minute lead in Toronto and, although Georgios Samaras equalised from the penalty spot after an hour, late goals from Danny Welbeck and Tom Cleverley gave the English side victory in the friendly.
应用推荐