Abstract: We consider two-dimensional Schroedinger operators with randomly distributed delta magnetic fields, and prove the Lifshitz tail (the exponential decay of the integrated density of states at the infimum of the spectrum) for this operator. In this case, the known method by using the Avron-Herbst-Simon estimate is not applicable; insted, we use the Hardy-type inequality by Laptev-Weidl. This work is a collabolated work with Yuji Nomura.