Smooth fox terrier definition is - any of a breed of fox terriers having a dense smooth chiefly white coat. Recent Examples on the Web The show presents its first Best in Show award, to a smooth fox terrier named Ch. Cnn Editorial Research, CNN, 14 June 2021 First, if your dogs hair is thin, short or smooth (think Chihuahua or smooth fox terrier), a coat or sweater is wise.