Shibari and Kinbaku are usually used as interchangeable terms relating to rope-bondage.
Technically speaking, shibari simply means “to tie”. The contemporary meaning describes an ancient Japanese artistic form of rope bondage.
Kinbaku refers to the erotic purpose of tying your partner up.
Nowadays, Shibari/Kinbaku is usually associated with BDSM and has become popular in the west.