In 2010 they were moved to a new cattery and the lodge is now used as offices.
Roger Bowdler, head of designation at English Heritage, said it was a great example of the architect’s work.
He said: “The survival of such an early purpose-built cattery is extraordinarily rare and, along with its intactness and historic interest, it fully merits listing at Grade II."
Claire Horton, chief executive of Battersea Dogs and Cats Home, said the building was a much appreciated part of their site.
