Abdullah tweeted: "I don't think anyone voted against Sheila Dikshit because of her residence, so best to focus on what really matters rather than the fluff."
He added: "No one will grudge Kejriwal a five-bedroom home. What they will grudge is poor delivery of election promises, so just let him move in and govern."
Abdullah's comment followed criticism that Kejriwal had erred by agreeing to move into a five-bedroom house in Delhi after advocating simple living.
The Aam Aadmi Party leader has since refused to move into that flat and sought a smaller house.