The thesis dealt with the technique of laser-induced breakdown spectroscopy (LIBS) for quantitative and qualitative analysis of elements, in addition to studying the relative mechanical properties of selected biological tissues (human teeth and bones) using a Q-switched Nd: YAG laser.  Laser induced plasma parameters such as electron temperature (Te), electron density (ne), Debye length (λD), and number of molecules in the Debye field (ND) were also studied, and the plasma frequency (ωp) was determined as a function of laser radiation for two wavelengths of 1064 and 532 nm .  The feasibility of estimating relative hardness using LIBS was performed by establishing linear relationships between the measured mechanical properties and the ionic-to-atomic density ratio of the Ca and P spectral lines. A linear relationship was observed between compressive strength, Young's modulus, hardness, and element concentrations (Ca), with small relative errors ranging from (  1.44-5.57)%, (1.94-6.07)%, and (0.243-4.01)%.  , respectively.