We derive the Leading-Order (LO) master equation to extract the polarized gluon distribution G(x,Q2) =xδg(x,Q2) from polarized proton structure function, gp1 (x,Q2). By using a Laplace-transform technique, we solve the master equation and derive the polarized gluon distribution inside the proton. The test of accuracy which is based in our calculations on two different methods, confirms that we achieve to the correct solution for the polarized gluon distribution. To determine the polarized gluon distribution xδg(x,Q2) more accurately, we only need to have more experimental data on the polarized structure functions, gp1 (x,Q2). Our result for polarized gluon distribution is in good agreement with some phenomenological models.

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