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The modulation effect of transverse current on the switching with hysteresis characteristics of quasi-ID charge-density wave conductor rubidium blue bronze Rb0.3MoO3 single crystals was investigated for the first time. The behavior of the transverse current dependence of second threshold field E-T2 (E-I characteristic curves) was obtained at 24 K under the current source driving. The E-T2 gradually decreases with the increase of transverse current I-T when transverse current I-T exceeds a certain value I-C. The E-I curves become smoother and the switching shows a gentle weakening by the increasing of I-T. Correspondingly, the I-E properties (voltage source driving) with an obvious switching from a low conducting state to a high conducting state were measured under the modulation of transverse current. Gradually, the E-T2 cannot be distinguished with transverse current increase. The areas of the hysteresis characteristics loop become gently smaller when transverse current increases. It is noted that the transverse currents only induce E-T2 to decrease when they go up, yet however, hardly affect the back curves of the hysteresis loop. This could explain the effect of the transverse current as not a thermal effect, because the back curves of the hysteresis loop are not identical at different temperatures. (c) 2006 Elsevier Ltd. All rights reserved.