I investigate the detectability of TeV gamma rays from millisecond pul
sars, assuming the energy source that powers this emission is the loss
of rotational energy of the spinning neutron star. I show that althou
gh individual sources may be too weak to detect, the contribution of m
any (approximately 10(3)) active millisecond pulsars may lead to curre
ntly detectable TeV gamma-ray emissions from globular clusters, provid
ed the average pulsar converts greater than or similar to 0.1% of its
spin-down energy into TeV gamma rays. Future detections of TeV gamma r
ays from globular clusters (or more restrictive upper limits on the fl
uxes) will lead to better estimates of the number of active millisecon
d pulsars the clusters contain, and to a better understanding of the p
ulsar emission mechanism. I also derive flux estimates for the followi
ng sources: (1) the Crab Nebula, (2) PSR 1937 + 21, PSR 1953 + 29, and
PSR 1855 + 09, and (3) nearby millisecond pulsars in the galactic dis
k.