The incident occurred in Peel Park at about 2.25pm on 30 April, when a man and woman in their sixties were approached by the suspect, who asked for the woman’s handbag.
The woman refused and a scuffle ensued which resulted in the woman falling to the floor.
She suffered an injury to her elbow which did not require hospital treatment.
The man was uninjured.
He was wearing a dark green or brown anorak and had a thin moustache and is believed to have walked off towards Bolton Road.
The suspect was also seen with a female, who is described as white and of similar age.
She was wearing a dark blue anorak with a scarf over her face and had bleached blonde hair with the roots showing.
Anyone who recognises the image or may be able to assist in this investigation is asked to contact Bradford District CID on 101, quoting crime reference 13170193763.
Information can also be passed anonymously to the independent charity Crimestoppers on 0800 555111.