The homeless person does not get up after the assault.
Releasing footage of the incident on Twitter, police in San Francisco said the man was wanted for aggravated assault.
Officers did not provide any further information about the attacker or the condition of the victim.
The attack took place in the city's Tenderloin neighbourhood, an area which has historically been known several homeless organisations, but recently has been gentrified to include multiple tech companies.
San Francisco has the sixth-largest homeless population of any US city, despite the city ranking 13th in terms of population.
The city's levels of homelessness have often come under criticism as San Francisco has one of the most expensive housing markets in the US.
Police released images of the attacker Twitter/@SFPDTenderloin (@SFPDTenderloin/Twitter)
As the home of Silicon Valley - a region where many successful tech companies such as Google, Apple and Facebook are based - San Francisco also claims some of the country's richest people as residents.
In 2016 a study found San Francisco's homeless youth to be ten times more likely to die than their non-homeless peers.
The study's authors from the University of California in Berkley urged Californian politician to heed the study's findings and establish more housing, mental health and substance abuse programs to curb the rising number of homeless people in the city.
Shelter - Homeless this Christmas
Show all 8
The same year a member of the San Francisco Board of Supervisors described the metropolis as a "city of tents". He said the increasing number of homeless encampments were a sign that the city was failing in dealing with the growing homelessness problem it faces.
The divisions between the ultra-rich tech entrepreneurs and the city's homeless seemed to be encapsulated last year when a security robot had to be deactivated after it was accused of harassing homeless people.
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies