Abstract: In this article, the concept of row-positive-definite matrix was introduced for the first time in real field.The authors investigate some determinant conditions and properties of this kind matrix, and obtain several necessary and sufficient conditions of a real matrix which is row-positive-definite.And other three problems are also discussed: the matrix is nonsingular, the determinant is not always greater than or equal to zero and the adjoint matrix is not row-positive-definite as well.