The article presents the features of a new method that allows for the non-contact determination of the weight and center of gravity of an aircraft. One of the variants of the mathematical model for implementing the proposed new method is considered, the essence of which is to measure the vertical displacements of the front and rear sides of the aircraft from reference points to the ground relative to the center of gravity of the fuselage of the aircraft standing on the airfield. Mathematical expressions are given for determining the weight on the front and rear parts of the aircraft fuselage, obtained by solving differential equations for the dependence of the vertical displacement of the aircraft fuselage on its loading using the MATLAB program. It is shown that the error in measuring the vertical displacement determines the accuracy of calculating the degree of loading of the aircraft on its front and rear parts relative to the center of gravity. To measure the vertical movement of the aircraft fuselage from the ground, a study is being carried out on the use of portable laser distance meters, which are installed on the ground under selected reference points in the front and rear of the aircraft fuselage. For experiments, portable laser distance meters of the VL53L0X type are selected, which have satisfactory parameters for measuring and non-contact determination of the weight and center of gravity. The measurement scheme, software, and direct display of results on a computer are provided using the “Arduino” module.