Inspired by Donaldson's program, we introduce the Kahler Ricci flow with conical singularities.  The main part of this talk  is to show that the conical Kahler Ricci flow exists for short time and for long time in a proper space. These existence results are hight related to heat kernel and Bessel functions. We will also discuss some easy applications of the conical Kahler Ricci flow in conical Kahler geometry.