Abstract: Coefficient of variation (C.V) is widely used as a measure of dispersion in applied research. C.V is unit less and thus facilitates the comparison of variability in two or more groups. Several tests have been proposed in the past for testing equality of C.Vs of two independent normal distributions. In plant sciences, medical sciences several characteristics of the plant or the subjects are to be compared regarding the variability and the samples are correlated. In this paper six tests are proposed for testing equality of C.Vs of a Bivariate normal distribution. The asymptotic null distribution of the entire test statistic is Chi-square distribution with 1 degree of freedom. The adequacy of the Chi-square approximation for finite samples is examined using simulation.