It is shown that in the framework of an analytical confinement, when quark and gluon propagators are induced by a vacuum self-dual gluon field with constant strength, the masses of mesons with quantum numbers Q = (J(P), n), where n is the radial quantum number, and quark constituents m (1), m (2) are described with reasonable accuracy by the formula [GRAPHICS] The positive parameter A(Q) is unique for all mesons with a fixed quantum number Q. Sets of mesons J(P) = 1(-), 0(+), 1(+), 2(+), 3(-) for n = 0 and 1(-), 2(+) for n > 0 and different flavor constituent quarks (u = d; s; c; b) are considered.