Synopsis For the photoionization of Ar5+, there are some significant discrepancies between the theoretical results using the Cowan code and absolute experimental measurements by Wang et al [Phys.Rev.A 75, 062712 (2007)].Relativistic R-matrix calculations are performed for the 3s-np photoionization of the ground state 2P1/2 and the metastable state 2P3/2.The present calculations are in better agreement with the experimental results with a resolution of 80 meV, and show a great improvement on their theoretical results.Two experimental unresolved transitions are distinguished in our calculations.Our results are also in better agreement with the measurements with the higher resolution of 20 meV.