Searches for the neutral Higgs bosons h0 and A0 are used to obtain limits in the Type II Two Higgs Doublet Model (2HDM(II)) with no CP-violation in the Higgs sector and no additional particles besides the five Higgs bosons. The analysis combines data collected with the OPAL detector at sqrts from 183 to 209 GeV with previous runs at sqrt(s)=mZ. The searches are sensitive to the h0 or A0 decaying into light quarks as well as b-quarks, gluons, taus, and also sensitive to a sequential decay h0->A0 A0. The 2HDM(II) parameter space is explored in a detailed scan, and limits in the parameter space are presented.