Services were restored after about three hours, a MMRDA official said.
The fire brigade received a call in the morning about some passengers being stuck in the monorail near Wadala.
"We got a call at around 9 AM about the incident and immediately our rescue team reached the spot and we have managed to rescue 11 people," a fire brigade official said.
"The incident occurred at around 8.30 AM. Immediately rescue operations were carried out. We had also pressed into service one more rail to restore the power supply. Now the services are normal," he said.
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Taking note of the incident, Fadnavis posted on twitter: "Looking into Mumbai Monorail breakdown incident. Appointed Principal Secretary (Urban Development) to immediately initiate an enquiry."
BJP leader Kirit Somaiya, who visited the spot, criticised the disaster management facility and asked the MMRDA to ensure that such mishaps do not reoccur.
"This incident is an eye opener. This shows that there is no disaster management facility made available either by the MMRDA or the private company which has developed the project. MMRDA should conduct an inquiry into the matter and submit its report in three days and also ensure such incidents don't reoccur," Somaiya told reporters here.
The project was implemented by the Mumbai Metropolitan Region Development Authority (MMRDA), along with a consortium of Mumbai-based conglomerate.