A handcuff apparatus includes a combination locking head and strap support which includes a first longitudinal axis. A first handcuff strap and a second handcuff strap are connected to the combination locking head and strap support. Each of the respective first and second handcuff straps are connected to the combination locking head and strap support. Both of the handcuff straps extend outward from the combination locking head and strap support from the same side of the strap support. Each of the respective handcuff straps includes a ratchet-bearing side and a smooth side which contacts the skin of a person to be restrained. Respective strap-supported unidirectional ratchet members are located on the respective ratchet-bearing sides. The locking head and strap support is provided with a movable locking clip or member normally supported in a first or non-engagement position within a portion of the locking head.