We apply methods in a paper of Tian (Comm. Pure Appl. Math.68:7 (2015),
1085–1156) to prove that a conic Kähler metric with lower Ricci curvature bound
can be approximated by smooth Kähler metrics with the same lower Ricci curvature
bound. Furthermore, conic singularities here can be along a simple normal crossing
divisor.