In this chapter, utilizing the general relativity framework, we investigate cosmological models for both non-interacting and interacting Tsallis holographic dark energy (THDE) and pressureless cold dark matter in LRS Bianchi type II space-time. In THDE density, we consider the Hubble horizon as the IR cut-off. Complete solutions of Einstein’s filed equations are achieved for some particular cases corresponding to the value of an integrating constant C. For \(C=0\) , we get decelerating universe throughout the evolution. While for \(C\ne 0\) , we find that the present universe is passing through an accelerating phase of expansion. However the expansion rate of the universe will decelerate at late times. For both the interacting and non-interacting case, we find that the universe contains phantom energy in the early universe and non-phantom energy at present and late times. Also for both interacting and non-interacting cases, the coincidence problem can be resolved.