"It is possible that he may have gotten on a bus headed for the Wellington Train Station.
"He was last seen wearing a grey woollen dressing gown with a blue jacket over the top, as well as long grey trousers and brown and gold slippers," police said.
"If you see someone who matches his description, we ask that you approach him and check if he is alright."
Smith suffers from dementia and may appear dazed or confused about where he is.