Meson Green's functions and decay constants f(Gamma) in different channels Gamma are calculated using the field correlator method. Both, spectrum and f(Gamma), appear to be expressed only through universal constants: the string tension sigma, alpha(s), and the pole quark masses. For the S-wave states the calculated masses agree with the experimental numbers within +/- 5 MeV. For the D and D-s mesons the values of f(P)(1S) are equal to 210(10) and 260(10) MeV, respectively, and their ratio f(Ds)/f(D)=1.24(3), agrees with a recent CLEO experiment. The values f(P)(1S)=182, 216, 438 MeV are obtained for the B, B-s, and B-c mesons with the ratio f(Bs)/f(B)=1.19(2) and f(D)/f(B)=1.14(2). The decay constants f(P)(2S) for the first radial excitations as well as the decay constants f(V)(1S) in the vector channel are also calculated. The difference of about 20% between f(Ds) and f(D), f(Bs) and f(B) directly follows from our analytical formulas.
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