Bryony, 21, was pushing her daughter in a pram on Kirkstall Road, near the Abbey House Museum, at about 5.30pm on Saturday.
She was approached by a man who asked for the time, before following Bryony down the street when she declined to speak to him.
He then ran ahead of Bryony and the pram reaching inside Bryony's pocket to try and grab her phone and her keys.
The suspect forcefully grabbed a coat from the buggy, pushing Bryony and the pram onto the floor.
Developers admit planning breaches in construction of Leeds retirement flats
Met Office issues thunderstorms and torrential rain weather warning for Leeds as heatwave comes to abrupt end
Paedophile arrested at Leeds Bradford Airport after travelling from Ireland to meet ‘13-year-old girl’
Aasia Majeed: Police launch urgent appeal to trace Leeds mum missing with one-year-old child
Major new £85m build-to-rent Leeds city centre development to go ahead following approval
Thankfully, both Bryony and her 11-month-old daughter were unharmed and there were no valuable items inside the coat.
He ran off in the general direction of Horsforth.
Bryony, who lives in West Park, said: "Nothing like this has happened here before, I've only lived around here for three or four months.
"I moved from Harehills with my two kids and boyfriend because I thought my kids would have a better life growing up away from there.
"Me and my daughter are both okay, just in shock."
The suspect was described as white, about 5ft 9ins tall, and of stocky, medium build.
He was wearing a dark zip-up jacket and dark jogging bottoms.
Police said they are investigating whether the incident is linked to a robbery that occurred at about 3am on Sunday 18 that involved a similarly described suspect.
A 19-year-old man was approached near to TGI Friday’s, in Kirkstall Road, by a man who asked him the time.
When the victim looked at his phone, the suspect barged him out the way and ran off with it.
Officers are appealing to anyone who witnessed either incident or has been approached and asked for the time by a man matching the description in the same area to contact them.
Please call 101 and quote crime reference 13190589573.