Abstract: By utilizing the difference analogue of Nevanlinna's value distribution theory of meromorphic functions, the order of growth of meromorphic solutions of certain difference Painlev\acutee equation I and difference Painlev\acutee equation II is investigated and some important results are obtained. The accurate estimate of the order of growth of meromorphic solutions to certain difference Painlev\acutee equation I and difference Painlev\acutee equation II is attained under the given conditions.