A wireless receiving device includes a signal measurement unit; a weighting factor generation unit that generates weighting factors each for suppression of the received signals, based on measurement results of the received signals; interference suppression units that each perform, in a parallel manner, interference suppression processing on the received signals, using, one of the weighting factors; arrival detection units that are connected in one-to-one to the interference suppression units, the arrival detection units each detecting arrival of a desired signal; an arrival determination unit that determines whether the desired signal has arrived; and a demodulation processing unit that demodulates the received signals when the arrival determination unit determines that the desired signal has arrived.