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A robber left a woman with facial injuries before making off with her watch.
The attack happened while they were on a stairwell in Rayners Court, Northfleet, at around 4.30pm on Saturday.
The suspect, who was black, ran away from the scene.
Investigating officer DI Martin Carter said: "The victim of this robbery required treatment at hospital for facial injuries.
"We are asking witnesses who saw the incident or who noticed anybody acting suspiciously in the area to contact us."
Anyone with information is asked to call Kent Police on 01474 366149 quoting 46/233602/19.
Alternatively contact the independent charity Crimestoppers anonymously by calling 0800 555111 or completing the online form at www.crimestoppers-uk.org