The incident happened at around 3.30pm on Monday, 31 August at a bus stop on Broadway, Bexleyheath.
A 35-year-old woman and her seven-year-old child were waiting at a bus stop along with a man, described as white and aged in his late 50s.
The man was reported to be acting strangely and calling out random things, among these were remarks about Muslims.
The matter was subsequently reported to police.
The incident is being investigated as a possible hate crime.
PC Natalie Kempshall, of the South East Safer Transport Team, is investigating. She said: “The woman and her child were minding their own business when they were subjected to needless abuse in broad daylight.
“Anyone who recognises the man pictured is asked to contact us immediately.”
Anyone who has information is asked to call 101 ref 3911974/20.
Alternatively tweet @MetCC, or contact Crimestoppers on 0800 555 111