In their paper "Bivariate Moments and Product Moments of Moment-Statistics for Samples from Finite Population of Size N" by M.N. Mikhail et al. (1), the authors give methods for deriving the blvariate formulae for moment-statistics and also give the bivariate expression for any moment function expressed in terms oil power sums and present all blvariate moments of moments through weight 5. In this paper the authors obtain the blvariate moments of moments for weight 6. This work Is a continuation of their previous work (1). Readers are, therefore, advised to refer to paper(1) for an understanding of the methods and notations used for deriving the expressions in this paper. The expressions In this paper are numbered serially in conjunction with the other paper (1).