The mathematical model using the field theory had been used to correct the supply values of the printing ink to set the printing press up for the optimal ink transfer to the imprint. Determining the optimal values of controlling ink supply is figured to be more critical rather than controlling the dampening solution supply, through it availability to be supplied zonally and due to various printing elements area on the printing form. Modelling the process allows to forecast the use of causeconsequential ties in order to achieve the stability of the printing process from the printing machine setup through the print run to the printing finish. Through the vector field with the means of integral calculus the ink transfer to the imprint had been researched. The ink layer thickness had been determined as the cylindrical surface height, with taking into the account its optimal maximal transfer to the printed surface. Gained equations are showcasing the growth of previously con ducted research and allow the more exact understanding of the inktransfer me chanism in the offset printing while utilizing the realistic environment of dampening solution zonal supply adjustment absence. Based on the divergence definition, and also based on the experimentally obtained data, the research of ink optical densities had been conducted, also the colour deviations were researched along the whole imprint's surface in dynamics.