GaN growth on GaP(1 1 1)A and (1 1 1)B surfaces are discussed using P desorption energy from the GaP(1 1 1) surfaces calculated by ab initio pseudopotential method and surface morphology of GaN layers on the GaP(1 1 1) substrates obtained by experiments. It was found that the activation energy for P desorption from GaP(1 1 1)A was smaller than that from GaP(1 1 1)B and these values depend on the surface morphology of GaN on GaP(1 1 1) surfaces. These results explain a finding that the GaP(1 1 1)A surface can promise an initial substrate for freestanding GaN substrate like GaAs(1 1 1)A surface.