A method of continuously electrolessly depositing a copper plating on the surface of a workpiece comprising the steps of preparing the surface of the workpiece to render it more receptive to the plating, immersing the workpiece in a solution comprising, in addition to water, a soluble source of cupric ions, a complexing agent to maintain the cupric ions in solution, and a a soluble source of hypophosphite ions effective to reduce the cupric ions to metallic copper as a deposit on the surface of the workpiece when in contact with the solution, and a soluble source of non-cupric metal ions which are capable of functioning as an autocatalysis promoter for the copper plating, and maintaining the pH of the solution at an operable level which enables the satisfactory continuous deposition of a copper plating on the workpiece, and depositing the copper plating on the workpiece at a thickness which increases with time of immersion with a substantially constant rate of deposition essentially the same as the initial rate of deposition.