Repeated Measurements designs are concerned with scientific experiments in which each experimental unit is assigned more than once to a treatment either different or identical. This class of designs has the property that the unbiased estimators for elementary contrasts among direct and residual effects are obtainable. Afsarinejad (1983) provided a method of constructing balanced Minimal Repeated Measurements designs p < t , when t is an odd or prime power, one or more than one treatment may occur more than once in some sequences and Â designs so constructed no longer remain uniform in periods. In this paper an attempt has been made to provide a new method to overcome this drawback. Specifically, two cases have been considered Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â RM[t,n=t(t-t)/(p-1),p], Î»2=1 for balanced minimal repeated measurements designs and Â RM[t,n=2t(t-t)/(p-1),p], Î»2=2 for balancedÂ repeated measurements designs. In addition , a method has been provided for constructing Â Â Â Â Â Â Â Â Â Â Â Â Â extra-balanced minimal designs for special case RM[t,n=t2/(p-1),p], Î»2=1.