  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.
