%0 Journal Article %T The Spin-Foam Approach to Quantum Gravity %A Alejandro Perez %J Living Reviews in Relativity %D 2013 %I Max-Planck Institute for Gravitational Physics %X This article reviews the present status of the spin-foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently-introduced new models for four-dimensional quantum gravity. The models are motivated by a suitable implementation of the path integral quantization of the Plebanski formulation of gravity on a simplicial regularization. The article also includes a self contained treatment of 2+1 gravity. The simple nature of the latter provides the basis and a perspective for the analysis of both conceptual and technical issues that remain open in four dimensions. %K Quantum gravity %U http://www.livingreviews.org/lrr-2013-3