The paper deals with the laser welding of thick-walled plates with a thickness of 20 mm made of EN AW5083-H111 aluminum alloy. A simulation model for the analysis of the laser welding process is developed and verify using temperature measurement during experimental laser welding of samples by a TruDisk 4002 laser device. Based on the numerical simulation of the laser welding process in the ANSYS program code, suitable parameters for production of high-quality weld joints were suggested. For welding at a speed of 10 mm.s−1, the laser power of 7 kW is recommended. A laser with the power of 10 kW is required for the higher welding speed of 20 mm.s−1.