This research work has been conducted to study the influence of process parameters and cooling lubrication method in turning of AISI 1045 under finishing conditions. Tests have been performed in dry conditions (dry cutting, DC), using the minimal quantity lubrication technique (MQL), and also in flood cooling (FC) conditions, using a carbide insert tool. Work is concentrated on statistical modeling to develop an appropriate approximating model between response and independent variables using Design Expert 8.0 software. Response surface methodology and analysis of variance were used for the experimental design. Cutting depth, feed rate, spindle speed, cutting fluid type, and flow rate were considered as independent variables. Analysis of variance (ANOVA) was used to determine the effect of machining parameters on surface roughness, their individual contribution, and the effect of their interaction. Mathematical linear regression was proved to be the most appropriate method in order to approximate the relationship between surface quality and finish turning process parameters. Numerical and graphical optimizations show the minimal level of depth of cut, the maximum cutting speed, and the maximum lubricant flow rate resulted in a better quality of machined surface.