The live facial recognition cameras will be installed at crime hotspots and will "match faces against a defined police database in real time", the council said.
A report from the council's cabinet says two cameras are proposed at 10 locations, including outside Shepherd's Bush Market on Uxbridge Road and Wood Lane outside Westfield Shopping Centre.
However, introducing facial recognition cameras is "heavily contingent on police support", though the council's initial conversations have reportedly been positive.
The Metropolitan Police currently has one pilot site for static live facial recognition cameras in Croydon, analysis of which is expected this autumn.
There will also be AI capability for 500 cameras under Hammersmith and Fulham's (H&F) plans.
According to the report, AI will "enable more efficient video playback, automatic vehicle tracking and enable use of other tools that will make more effective use of the camera system", increasing CCTV operator efficiency and response times.
The report states: "Importantly, this will enable Retrospective Facial Recognition (RFR) across H&F's camera network, allowing CCTV footage to be automatically searched to efficiently track the routes taken by criminals across the borough."
The cabinet paper also recommended drones be introduced as an "enforcement aid", subject to approval from the Civil Aviation Authority.
One local resident expressed concerns about the council's plan.
Annie, 35, told BBC London: "My issue is that cameras feel like an after-the-fact issue, and so actually, they don't make me feel safer.
"They make me feel like maybe if something was to happen, it's more likely someone would be caught, but I'd rather them do preventative things instead."
But Liah Opah, 19, said she was "really happy" about the plans for facial recognition cameras in Hammersmith and Fulham.
"I think it's a good idea to easily be able to identify people who commit crimes or even doing unsafe and dangerous things around the station and around areas.
"I also really love the idea of them adding live facial recognition technology."
She also said that if there was a crime or other incident "it'd be really easy to identify everyone or group of people and if there's a serious investigation then it would be really quick to identify them".
"It will help reassure citizens like me who feel unsafe walking around the streets of Hammersmith and Fulham," she added.