Handcuffs characterized by a single locking head/single strap support receiving a single handcuff strap. The single locking head/single strap support includes a manually movable locking member which includes locking member ratchets for engagement with the strap ratchets. With one embodiment of the single-strap handcuff apparatus of the invention, a two-link chain of single-strap handcuff apparatuses is formed. With another embodiment of the single-strap handcuff apparatus of the invention, a three-link chain of single-strap handcuff apparatuses is formed.