We study the quantum anomaly for the transverse Ward-Takahashi relations in the four-dimensional gauge theory QED by using Fujikawas method in which the anomaly is fundamentally a variation of the functional integral measure under transformation.A regulator which leads to a finite result for the anomaly is proposed.It is shown that a novel anomaly associated with transverse Ward-Takahashi identity of pseudo-tensor current is derived due to a set of infinitesimal transverse transformation of field variables.