The optimum allocation of sample sizes for one character has been thoroughly discussed in almost all types of sampling procedures, like stratified, Multistage, Double sampling etc. The optimum allocation for several characters has been dis- cussed by Kokan [6,7], and Chatterjec [3]. In the present paper the problem of multivariate survey has been discussed for stratified sampling procedure by applying a different criteria than used by Kokan and Chatterjee. But the method is general and can be applied for other types of sampling procedures. As a first step, this method obtains the value of total sample size and then in the 2nd step a Minimization procedure allocates sample sizes in each stratum. This method has been applied to a Multivariate survey conducted at the University of Karechi.