Pure, Magnesium sulphate, Zinc sulphate, Nickel sulphate, Copper sulphate and Manganese sulphate of different concentrations (0.5% and 2.5%) doped Lithium sulphate monohydrate(LSMH) single crystals have been grown by slow evaporation solution growth method. The monoclinic structure of the grown crystals is confirmed by powder X - ray diffraction analysis. The presences of functional groups are identified through FTIR. Tauc plot of the grown crystals were obtained from UV - Vis spectral analysis. The optical parameters such as band gap energy, extinction coefficient, refractive index and optical conductivity of the grown crystals have been calculated as a function of photon energy. The mechanical parameters such as Meyer index, fracture toughness, Brittle index, yield strength and stiffness constant have been calculated. The NLO activity of the grown crystals are studied using Kurtz and Perry technique and it shows that the grown crystals have second harmonic generation efficiency. Laser damage threshold (LDT) values of the grown crystals are determined. Dielectric, conductivity and electrical modulus properties of grown crystal have been analysed.