David Smith was reported missing on Sunday. He was last seen in the New Street area at about 12.30am.
Mr Smith is described as six feet tall with short grey hair. When last seen he was wearing a blue coat and was using a walking stick.
West Mercia Police and Mr Smith's family are becoming increasingly concerned for his welfare and would like to hear from him, or anyone who knows where he is.
Anyone with information is asked to call West Mercia Police on 101.