This research examines the effect of laser single layer coating process parameters including laser power, scanning speed and powder feeding rate on the geometrical characteristics of the layer (width, height, depth of penetration and fusion) by mathematical and experimental models. The powder used is NiCoCrAlY, which is coated on a substrate of nickel base CMSX-4 superalloy by laser coating process. In order to optimize the parameters and reduce the time spent in repeating the process , Statistical-experimental modeling of single-pass freezing geometry and microstructure was done using response surface method and linear regression analysis. The results showed that the predicted values correspond to the measured values. This review confirms the effectiveness of the models obtained from the regression analysis. Finally, the relationship between the main process parameters and geometrical characteristics were studied. Statistical modeling showed that there is a linear relationship between the geometrical characteristics of single-pass coating and the main parameters of the process. The correlation coefficient for all obtained equations was more than 0.9. The modeling results showed that the laser power has a direct effect on all the geometric features, While the powder feeding rate only affects the thickness and has a negative effect on the width and depth of penetration of the coating layer, The scanning speed has a negative effect .The optimal parameters of the process obtained from the response surface method are the laser power of 850 W, the scanning speed of 15 mm/s and the powder feeding rate of 4 g/min.