The article considers determination of parameters of change of productivity of transfer of a product through the pipeline taking into account safety of operation. Conditions of prevention of inadmissible deformations by restriction of the maximum equivalent tension with a limit of metal ductility and safety of the pipeline with achievement of the acceptable margin of safety on a ductility limit are formulated. Parameters of change of the mode of transfer are characterized by the length of the pipeline segment which is under the change of speed of the movement of the pumped-over product and the period of change of the specified speed. As a result of researches the analytical dependences of length of the pipeline segment which is under the change of speed of the movement of a product and the period of change of this speed from change of productivity of transfer, internal pressure inside the cavity of the pipeline, its geometrical characteristics and mechanical properties of metal of pipes taking into account conditions of ensuring durability of pipes and safe operation of the pipeline are received. Because the specified analytical dependences depend on geometrical characteristics of pipes and their connections, the connections of pipes with equal and different thickness of walls, and also connections of pipes with the element having very big rigidity on deformation, for example, with shutoff valves are considered. The quantitative and qualitative analysis of influence of geometrical characteristics of pipes and their connections, properties of metal, necessary margin of safety on values of parameters of the mode of transfer at which durability of pipes and safety of operation of the pipeline is provided were carried out. Increases in parameters of change of productivity of transfer of a product are necessary for all considered schemes of connection of pipes for the purpose of prevention of inadmissible deformations and achievement of the acceptable margin of safety on a limit of ductility. At the same time, on a site of connection of the pipeline with an element, rigid on deformation, higher values of parameters of change of the mode of transfer are necessary for prevention of inadmissible deformations and achievement of the acceptable margin of safety. The increase in value of change of productivity of transfer results in the need of increase of a period of change of speed of the movement of a product and extent of the site of the pipeline on which there is a change of this speed.