Biodegradable polylactic acid (PLA) is synthesised from lactic acid by ring-opening polymerisation (ROP). Calcium phosphate (CaP) and magnesium phosphate (MgP) nanoparticles were incorporated into the PLA matrix to study its mechanical and rheological properties. PLA nanocomposites were prepared by the melt compounding assisted with ultrasonic vibration, and the samples were cast inside the vacuum chamber. Scanning electron microscopy photomicrographs of PLA nanocomposites show that CaP and MgP nanoparticles were well dispersed inside the matrix. The tensile strength of PLA/CaP nanocomposites increases up to 15% loading and that of PLA/MgP nanocomposites up to 2% concentration. It is also found that with respect to tensile strength, PLA/CaP and PLA/ MgP nanocomposites can be used for the human bone implant. Rheological properties show that complex viscosity decreases with angular frequency but increases with nanoparticles concentration, confirming shear thinning behaviour.Storage modulus and loss modulus of PLA nanocomposites increase with angular frequency and nanoparticles concentration.