{A simple generalization to Einstein's general relativity (GR) was recently proposed which allows a correction term $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory. This theory is called Energy-Momentum Squared Gravity (EMSG) and introduces a new coupling parameter $\eta$. EMSG resolves the big bang singularity and has a viable sequence of cosmological epochs in its thermal history. Interestingly, outside matter EMSG is equivalent to GR and its effects appear only inside the matter. We study non-relativistic and relativistic stars in EMSG.} We use the new action for static spherically symmetric objects, and we attain the different relevant field equation from general relativity only in the presence of matter source.For outside the star,equations are exactly Schwarzschild-de Sitter.We numerically solve the modified Tolman-Oppenheimer-Volkoff equations and by using several realistic equation of state we obtain different bound of mass and radius for neutron stars.We finally obtain limit for mass-radius relationship.We will show that the maximum mass limit of this work is larger than of in general relativity.

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