Two sets of generalized symmetries of the potential Nizhnik-Novikov-Ve
selov equation are given in a simple formula by developing a generaliz
ed formal series method for searching symmetries of one type of genera
lized partial differential equations. These two sets of symmetries con
stitute an infinite-dimensional Lie algebra which contains three types
of Virasoro algebras and three w(infinity) type algebras as its speci
al cases.