We present simulation results on DC characteristics of AlGaN/GaN HEMTs having trench shaped source/drain Ohmic electrodes. In order to reduce the contact resistance in the source and drain region of the conventional AlGaN/GaN HEMTs and thereby to increase their DC output power, we applied narrow-shaped-trench electrode schemes whose size varies from $0.5{mu}m$ to $1{mu}m$ to the standard AlGaN/GaN HEMT structure. As a result, we found that the drain current was increased by 13 % at the same gate bias condition and the transconductance (gm) was improved by 11 % for the proposed AlGaN/GaN HEMT, compared with those of the conventional AlGaN/GaN HEMTs.