MCTF has been widely used in wavelet based video coding due to its attractive features. For MCTF based codecs, a fundamental question is how to allocate bits to each temporal band so that certain degree of constant quality can be achieved. In this paper, we propose a novel approach for constant quality aimed bit allocation among T-bands for the applications of adaptive stored video streaming. The basic idea of our proposed scheme is to adjust the energy gains based on an empirical model to compensate the different contributions from different types of T-bands, and more or less equally distribute the distortions among the T-bands at the same level. Experimental results show that our proposed bit allocation can greatly reduce the PSNR fluctuation with only slight degradation in average PSNR.