  We present spectra of pulsed gamma-ray emission expected from millisecond
pulsars within the framework of polar-cap models. The spectra are a
superposition of three components due to curvature (CR), synchrotron (SR), and
Compton upscattering (ICS) processes. The CR component dominates below $100
$GeV and the ICS component exhibits a peak at $\sim 1 $TeV. The CR component
should be observable from J0437-4715 with the next generation gamma-ray
telescopes, like e.g. GLAST.
