Mr Thorpe wrote on Twitter: "Our out of hours team from @Royal_Greenwich have worked throughout the night to cover the graffiti, which is the most shocking & offensive I've ever seen.
"It's on the doors, windows & stonework of the bank. I'm also asking everyone across #Greenwich to notify us of any others."
The Board of Deputies of British Jews praised the council for its "quick action" in removing the graffiti.
A spokesperson for the Metropolitan Police said: "Officers are investigating a report of antisemitic and racist graffiti on a bank on Vanburgh Park which is believed to have occurred between 22:00hrs and 23:00hrs on Saturday, 25 January.
"We are also aware of similar graffiti on a takeaway on Bramshot Avenue, SE7."