This　paper　reports　that　in　the　quantization　of　electromagnetic　field　in　the　dielectrics,　the　wave　equation　with　regard　to　the　Green　function　is　analytically　solved　by　a　direct　integral　method　for　a　quadratic　continuous　nonlinear　absorptive　dielectric　medium.　The　quantization　of　the　electromagnetic　field　in　such　a　nonlinear　absorptive　dielectric　is　carried　out　for　which　the　material　dielectric　function　is　assumed　as　a　separable　variable　about　the　frequency　and　the　space　coordinate.　The　vacuum　field　fluctuations　for　different　spatial　continuous　variations　of　dielectric　function　are　numerically　calculated,　which　shows　that　the　present　result　is　self-consistent.