The stabilization problem of general second-order single-input dynamical systems is discussed. This class of linear or non-linear dynamical systems contains some uncertainties. A new robust discontinuous controller is proposed to guarantee asymptotic stability of general dynamical systems with bounded uncertainties. Then, to guarantee the continuity of the control, a quasi-saturation function is introduced into the control law and guaranteed eventual stability-in-the-large (ESL) of the dynamical systems is proved. Some examples and simulations are given to illustrate the effectiveness of the robust continuous controller. The control signals are indeed continuous and smooth while maintaining the desired performance of the system.