  We investigate the chances that neutron stars act as the lense in a
gravitational microlensing event towards the galactic bulge or a spiral arm.
The observation of neutron stars by means of gravitational microlensing would
allow the estimation of neutron star masses independently of the property of
being a pulsar in a binary system. We estimate the contribution of neutron
stars to the optical depth and the lensing rate based on two different models
of the pulsar distribution in the galaxy. Since only a small fraction of all
neutron stars are pulsars, it is unlikely to find a pulsar that acts as a
microlense by chance. A position comparison of known radio pulsars with
observed microlensing candidates towards the galactic bulge and spiral arms
shows no candidate pair, which is consistent with the theoretical expectation.
To improve the probability of microlensing a pulsar, we suggest to search for
gravitational microlensing events of known nearby high proper motion pulsars.
The pulsar PSR J1932+1059 is a good candidate for an astrometric detection of
gravitational lensing.
