Common methods of variance estimation like Taylor series linearization (Delta Method) requires partial derviations which make the computations very complicated as the number of frames increase. Jackknife method with much easier computations yields to remarkable decrease in bias. This article, firstly, introduces multiple frame estimators. Then it focuses on applying Jackknife method in estimating variance of multiple frame surveys estimators, and compares it to the Taylor series linearization method by conducting a simulation study.