We present two-year-long observations of the flux of very-high-energy (simi
lar to 10(12) eV) gamma rays from the active galactic nucleus Mk 501 perfor
med with a Cherenkov detector at the Crimean Astrophysical Observatory. A g
amma-ray flux from the object was shown to exist at confidence levels of 11
and 7 standard deviations for 1997 and 1998, respectively. The flux varied
over a wide range. The mean flux at energies >10(12) eV, as inferred from
the 1997 and 1998 data, is (5.0 +/- 0.6) x 10(-11) and (3.7 +/- 0.6) x 10(-
11) cm(-2) s(-1), respectively. The errors are the sum of statistical obser
vational and modeling errors. The mean power released in the form of gamma
rays is similar to 2 x 10(43) erg s(-1) sr(-1). (C) 2000 MAIK "Nauka/Interp
eriodica ".