The high level quantum chemistry ab inito multi-reference configuration interaction (MRCI) method with large V5Z basis set is used to calculate the spectroscopic properties of the 15 A-S electronic states (X1∑+, A I П, 1 △, 1 ∑, 3∑+, 3П, 3△, 3△ , 5∑+, 5П, 5△, 1П (II), ofAsO+ radical correlated to the dissociation limit As+(3pg) + O(3pg) and As+(IDg) + O(1Dg). In order to obtain better potential curves and more accurate spectroscopic properties, the Davidson modification is taken into account. With the potential energy curves (PECs) determined here, vibrational levels G(v) and inertial rotation constants Bu are computed for all the bound electronic states when the rotational quantum number J equals zero (J = 0). Except for the states X1∑+, A1П , it is the first time that the multi-reference configuration calculation has been used on the 13 A-S electronic states of the AsO+ radical. The potential energy curves of all the A-S electronic states are depicted according to the avoided crossing rule of the same symmetry. Spin-orbit coupling effect (SOC) is introduced into the states X1 ∑+, A1 П, 3П to consider its effects on the spectroscopic properties. Transition dipole moments (TDMs) from A1П 1, 3 П1 states to the ground state X1∑0+ are predicted as well.