Abstract: Gravitational waves emitted from binary systems of compact objects carry with the information of the dynamical evolution of the binary. If the binary system contains neutron star(s), this evolution is strongly influenced by the tidal deformation it(they) suffers, especially in the final few orbits. Inferences on the tidal deformation is therefore possible from the measurement of the emitted gravitational waves. This in turn provides an avenue to constrain the poorly understood equation of state (EoS) of the neutron star. Moreover, the EoS being a fundamental property, we can combine the observations of various events to produce a joint constraint. In this talk I will discuss some of the latest results on constraining of neutrons star EoS using gravitational wave data, and present a new data analysis technique. I will also discuss on how this can be extended to combine data from electromagnetic observations.