The structure parameter errors result in the regularity of position accuracy of the offset orthogonal articulated arm coordinate measuring machine (AACMM) in different configurations. The paper studies the relationship between the structure parameter error and the position accuracy of 6joint AACMM using the definite integration. The position accuracy prediction model is formulated. The inverse kinematics algorithm of offset orthogonal AACMM is proposed and the position accuracy distribution of AACMM in different configuration of specified operating point can be described. The configuration flexibility and weight of position accuracy in different configuration are explained. Evaluation experiments are summarized as follows. The comparison test of configuration flexibility is carried out; the position accuracy distribution of AACMM in different operation points is described; by using the distribution feature, singlepoint tests are implemented under different working points of different configuration. Experimental results show that the proposed method has the attribute of high configuration flexibility and is more suitable for the operation of AACMM. In further, it can be used to guide the selection of operation point and measurement configuration in operating the AACMM.