The shortest definition of a process says a process is a transformation of input requirements in the output of the process, materialized in a product or a service. In transport, the process is a set of interrelated or interacting activities, which transforms a customer requirement as an input for transport into transport service provided in accordance with the customer requirement. To do this, it seeks to achieve the required level of service quality. For the services at the required quality level, it is necessary to reach the required level of quality of each process activity, in each process step of the transport process. A number of factors affect the quality of the transport process. In this paper, by using general and special scientific methods of cognition, the authors explore the factors of transport process quality and explain their influence on the process quality. The approach presented in this paper, with some adaptation, applies to the research of quality of all types of transport.