The work is devoted to the study and solution of a two-point boundary value problem with impulsive effects for a nonlinear ordinary differential equation \begin{equation} \frac{dx}{dt}=f(t, x), \end{equation} \begin{equation} x(\theta+0)-x(\theta-0) =p, \end{equation} \begin{equation} g(x(0), x(T)) =0, \end{equation} where $f: (0, T) \setminus {\theta} \to \mathbb{R}^n$ is piecewise continuous, $g: \mathbb{R}^n \times \mathbb{R}^n \to \mathbb{R}^n$ is continuous, $p \in \mathbb{R}^n$ is a given vector, and $\theta$ is a fixed point on $(0, T)$.

In this study, the ideas of D.S. Dzhumabaev`s parameterization method are widely applied. This method is one of the constructive methods by which the existence of a solution can be investigated, and algorithms for finding approximate solutions can be constructed. It should be noted that in the construction of algorithms, the parameterization method uses the original data, making this method convenient for practical application. In his research on boundary value problems for integro-differential equations, D.S. Dzhumabaev introduced the concept of a new general solution for nonlinear equations. This concept is extended to our problem. Solvability conditions have been obtained for the problem under consideration.