In this paper, we give an estimate result of Gol'dberg's theorem concerning the growth of meromorphic solutions of algebraic differential equations by using
Zalcman Lemma. It is an extending result of the corresponding theorem by Yuan et
al. (Yuan W J, Xiao B, Zhang J J. The general theorem of Gol'dberg concerning the
growth of meromorphic solutions of algebraic differential equations. Comput. Math.
Appl., 2009, 58: 1788–1791). Meanwhile, we also take some examples to show that
our estimate is sharp.
