The article describes the procedure for testing the statistical significance of point displacements in the geodetic network as the intermediate stage between the adjustment of respective epoch measurements and an in-depth deformation analysis. For the test statistics, a cumulative distribution function presenting the relation between the displacement and the displacement accuracy is determined by simulations. On the basis of the cumulative distribution function a critical value of the test statistic for a selected level of significance is determined. The null hypothesis presupposes that the point is not moved, it is composed. A comparison of the critical value to the test statistic value is made and the actual risk level for rejecting the null hypothesis is estimated. Further on, a practical example of implementing the test in a simulated network is given. The test statistics proved to be simple and applicable, owing to the fact that the points with significance displacements were singled out successfully.