The fine structure spectra from very highly stripped ions of the medium and high-Z elements have important applications in plasma diagnostics and the atomic structure calculations. Therefore, on the SG-II laser facility, the X-ray emission spectra from highly stripped plasma of Molybdenum (Mo) are observed by focusing an Nd-glass frequency-tripled (0.35 m) laser beam onto the surface of the Mo target. The fine structure spectra of Mo ions in a range of 0.320.58 nm are measured by a high-resolution elliptically bent crystal spectrometer. Some of resonance transitions and inner-shell transitions of the type 42 and 32 in the C-like, O-like, F-like and Ne-like iso-electronic sequence and the lines from H-like and He-like Mo ions are identified and classified. In addition, the full widths at half maximum (FWHM) of wavelengths are also analyzed. Wavelengths are measured within an uncertainty of 0.0005 nm. A comparison shows that they are in good agreement with computational results of Hartree-Fock-Relativistic (HFR) method. This work is very helpful for enriching the spectra of Mo ions.