The conception of dynamic technological connections during machining is developed. Dynamic technological connections are presented that act during the formation of surfaces and indicators of the production quality of the product and its components during machining. Managing of relationships are sources of improving the quality of manufacturing parts. Some output technological parameters that form the quality of parts during machining are investigated, and factors influencing them. The mechanism and pattern of changes in the actual depth of cut during grinding of teeths by copying were identified. The method was determined to ensure its stability with by control of dynamic technological connections. Achieved improved quality of grinding teeth and processing performance when grinding teeth with copying compared with the traditional method. Keywords: dynamic; technological connections; grinding; control; depth of cut; quality.