The aim of the thesis is to calculate the entanglement entropy of an interval in different two-dimensional warped conformal field theories. The result by Castro et al [key-5] is generalized to a second WCFT with a different symmetry algebra. This is done in two ways: First using the Rindler method and second using the replica trick. The new WCFT is particularly interesting because it appears as holographic dual of a boosted Rindler-spacetime. On the gravitational side, entanglement entropy is much easier to compute and I show that the results agree if one locates the field theory on the horizon at r=0 rather then at r towards infinity. This statement is shown to be also true for the slightly more involved case of boosted Rindler-AdS.