Devoting to the study of hydrogen molecule, this thesis contains a brief history on spectroscopic examination of the molecule on its very beginning. The importance of understanding the transitions of the simplest diatomic molecule is emphasized by introducing a part of an extensive literature about hydrogen molecule and its properties, which is being used in science, technology and industry. In our laboratory the study of hydrogen excitation by impact of monochromatic electrons was performed using crossed electron/molecular beams apparatus. Fluorescence spectra inducedby electrons with energy in the range of 14eV to 100eV were recorded by optical spectrometer in the range of 200-700 nm. In this wavelength region, besides Balmer lines, Fulcher (α-δ) series and continuum H2 (a3Σ+g → b3Σ+u), large number of singlet and triplet molecular transition were identified. From the measured excitation curves the threshold energies for the excitation of H2 molecule into the state a3Σ+g were determined, as well as the ones of Balmer series. The continuum was detected even at wavelengths above 500nm, which was the upper limit of observation reported in the past. This represents the greatest achievement of this work, as we disproved claims published by authors in the past. Cross sections of the continuum are presented and the shape agreement with shorter-wavelength measurements was confirmed.