tGPS positioning issue has been experienced a surge of interest for multipath mitigation in the past fewyears. Multipath disturbance is a challenging error in high precision GPS positioning particularly in kine-matic mode where the moving receiver undergoes different multipath circumstances. Diverse hardwareand software approaches have been implemented to reduce this error in both static and kinematic modes.We have proposed an algorithm to alleviate C/A code multipath in kinematic mode. Our proposed schemefalls into software group where wavelet transform (WT) has been used as the main basis. Of course, wehave used stationary wavelet transform (SWT) as the key idea of our proposed method that makes itpossible to investigate all frequency sub-bands. Consequently, it would be possible to extract multipathdisturbance since it is considered to be a low frequency term. After applying SWT to double difference(DD) residuals, the multipath error is extracted and used to correct DD observations. In this paper, wehave designed three experiments to study our proposed method efficiency under different conditions incomparison with existing algorithms.