Metal complexes of alkynyl carbenes undergo a [1,3]-bond shift known as a metallotropic shift. Since the discovery of the metallotropic [1,3]-shift of Rh-carbenoid, many more alkynyl carbene complexes with Ti, Cr, Mn, Mo, Ru, W, Re, Pt, and Au have been discovered to show metallotropic shift behavior. This article briefly summarizes the [1,3]-bond shift of alkynyl carbenes and their metal complexes.