A sampling procedure involving repeated application of double sampling for stratification on several successive occasions is considered. The formulae for the estimate of the mean on any current occasion and its variance are obtained. The determination of optimum allocation of available resources and the extension of the procedures for uni-stage sampling, to multi-stage sampling, are briefly indicated. The use of the design, suggested in this paper, is illustrated by its application to a recently conducted survey for estimation of coconut production in the State of Assam.