We compare the nonthermal emission from clusters of galaxies undergoing minor mergers ("" accreting ÏÏ clusters) and major mergers ("" merging ÏÏ clusters). We deÐne major mergers as mergers that change the inner dark matter structure of clusters ; minor mergers are all others. For accreting clusters, the radial distribution of the nonthermal emission in the clusters is also calculated. The relativistic electrons, which are the origin of the nonthermal radiation through inverse Compton (IC) and synchrotron emission, are assumed to be accelerated at shocks produced by accretion or mergers. We estimate the typical accretion rate and merger probability according to a hierarchical clustering model. We predict that in the inner region of accreting clusters the nonthermal emission has a Ñat spatial distribution at all frequencies. For synchrotron and hard X-ray emissions, we predict an increase in the emissions at the cluster edge due to accretion. We show that the total luminosities of IC emission from accreting and merging clusters are similar. On the other hand, the luminosity of synchrotron radio emission of the former is much smaller than that of the latter. We show that about 10% of clusters at z D 0 should have hard X-ray and radio nonthermal emissions due to their last major merger that are comparable to or dominate those due to ongoing accretion. Moreover, 20%È40% of clusters should have signiÐcant EUV emission due to their last merger. We also investigate the case where the criterion of mergers is relaxed. If we extend the deÐnition of a merger to an increase in the mass of the larger subcluster by at least 10% of its initial mass, about 20%È30% of clusters at z D 0 should have hard X-ray and radio nonthermal emissions due to the merger, even in a low-density universe. We compare the results with observations. We Ðnd that the observed EUV emission from clusters is not attributed to accretion. If the di †use radio emission observed in clusters is synchrotron emission from electrons accelerated via accretion or merging, the magnetic Ðelds of clusters are generally as small as D0.1 kG. One concern is that this is a signiÐcantly weaker Ðeld than that implied by Faraday rotation measurements.