We extend the method for calculation of the gluino condensate in SUSY Yang-Mills theories with no matter proposed in the previous work to cover the cases of SP( N) and exceptional groups (G 2, F 4, E 6, E 7). In all these cases the condensate 〈Trlλλ〉 is non-vanishing and takes T(G) different values where T(G) is one half of the Dynkin index for the adjoint representation of the gauge group G.