We investigate the performance of a code division multiple access (CDMA) system employing local polynomial approximation (LPA) smart antenna under moving user scenario. A closed form for average signal to interference plus noise power ratio (SINR) is derived, where the angular velocity of a target user is invariant during an observation interval. This SINR is independent of user velocity, and consequently it induces the independence of bit error rate (BER) with respect to the user velocity, while the use of conventional smart antenna shows significant degradation in the system performance by moving user.