Coordinate transformation from one datum to another is the basic problem in geodesy. Generally, theproblem may be expressed by converting coordinates in a cartesian coordinate system with defined origin provided by theintersection of two or three axes into another system using mathematical equations. To compute the transformationparameters, a sufficient number of coordinates of the common points should be known in two systems. The probleminvolves either 2D or 3D coordinate systems. Traditionally the commonly used model for the estimation of thetransformation parameters is the Least Squares (LS) method refers as to Helmert Transformation. This study aims tocompare the performance of the spatial distribution and quantity of the common points in LS method for coordinatetransformation problems. For this purpose, a geodetic network with 25 points, whose coordinates are commonly known intwo datum are used to compute the performance of the transformation problem under the different scenarios. To comparethe cases, the sum of the absolute coordinate differences is provided by subtracting the original coordinates of test pointsfrom computed coordinates by using estimated transformation parameters. The results show that increasing control pointsone by one to estimate the transformation parameters improve the results of the transformation parameters and reliabletransformation parameters have been estimated when a homogeneously distributed 8 points are taken as common pointsfor about a region as 1500 km2.