In this paper, we prove the existence of an isometric embedding near the origin in $\Bbb R^3$ of a two-dimensional metric with nonpositive Gaussian curvature. The Gaussian curvature can be allowed to be highly degenerate near the origin. Through the Gauss-Codazzi equations, the embedding problem is reduced to a $2\times 2$ system of the first order derivaties and is solved via the method of Nash-Moser-H\"{o}rmander iterative scheme.