The thin-disc lasers design based on conduction cooling and a novel pumping geometry called edge pumping was developed The edge pumping geometry separated the cooling and optical pumping interfaces, resolves prior difficulties with high average power pumping and the rejection of amplified spontaneous emission (ASE), simplifying the laser head desiga The 5 W output power with sloppy efficiency 11.9% from 1at.-% Nd:YAG using edge pumping six corners disc was obtained The pump light distributing and absorbing in the disc are analyzed using tray trace, problem for edge pumping disc laser are indicated.