The results of the searches for neutral Higgs boson production in the process e+e- $\rightarrow$ Z$\ast$ H$^{0}$ are reported, focusing on Higgs boson masses below 70 GeV. The data sample consists of three million hadronic Z decays collected by the L3 experiment at LEP from 1991 through 1994. No signal is found leading to a lower limit on the mass of the Standard Model Higgs boson of 60.2 GeV at 95% C.L. These results are also interpreted in the framework of the General Two Doublet Model and limits on the non standard Higgs boson production through the process e+e- $\rightarrow$ Z$\ast$ H$^{0}$ are set. A lower limit of 66.7 GeV at 95% C.L. is obtained for the case where the Higgs decays into an invisible final state.

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