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In explicit CP violation scenario of the minimal non-minimal supersymmetricstandard model (MNMSSM), the possibility of a strongly first-order electroweakphase transition (EWPT) is investigated at the one-loop level, where theradiative corrections from the loops of the top and stop quarks are taken intoaccount. Assuming that the stop quark masses are not degenerate, the radiativecorrections due to the stop quarks give rise to a CP phase, which triggers thescalar-pseudoscalar mixing in the Higgs sector of the MNMSSM. The lighter stopquark need not always to have a small mass in order to ensure the stronglyfirst-order EWPT. In the MNMSSM with explicit CP violation, it is found thatthe strength of the first-order EWPT depends on several factors, such as thelightest neutral Higgs boson mass and the nontrivial CP phase arising from stopquark masses. The effects of these factors are discussed.

Electroweak phase transition in the MNMSSM with explicit CP violation