The AMS-02 collaboration has just published a high precision measurement of the cosmic positron fraction e ^ { + } / ( e ^ { - } + e ^ { + } ) , which rises with energy from \sim 5 GeV to \sim 350 GeV . The result indicates the existence of primary electron/positron sources to account for the positron excess . In this work , we investigate the possibility that the nearby mature pulsars are the primary positron sources . By fitting the data we find that the positrons from a single nearby pulsar , such as Geminga or Monogem , with the spectral index \alpha \sim 2 can interpret the AMS-02 result . We also investigate the possibility that high energy positrons are generated by multiple known pulsars in the ATNF catalogue . Such a scenario can also fit the AMS-02 data well . Future precise measurements of fine structures in the positron spectrum would be a support to the pulsar scenario .