Abstract: We considered TD soliton hierarchy. Firstly, based on a Loop super Lie algebra and super identity, the super TD soliton hierarchy was constructed on the basis of the equivalence of the TD spectral problem, and the super Hamiltonian structure was obtained. Secondly, the super TD soliton hierarchy with selfconsistent sources was constructed. Finally, the infinite conservation laws for the super TD soliton hierarchy were obtained by introducing two variables F and G.

Key words: conservation law, selfconsistent source, super TD hierarchy