The first piece was discovered on Monday, and showed a goat, perched on a ledge, with rocks falling, on the side of a building in Kew Green, Richmond.
The piece also featured a real life CCTV camera, which was pointed at the goat, but has now been returned to its original position.
The second piece, which was found on Tuesday, features two elephants facing each other and poking their heads out of blocked out windows in Edith Terrace in Chelsea.
Banksy did not write a description for either of the social media posts he made sharing his work, meaning fans have been coming up with their own ideas of what they represent.