The object of the present paper is to derive several interesting properties of the class $T_n(lambda,alpha)$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n(lambda,alpha)$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $T_n(lambda,alpha)$ are studied here.