Abstract: A continuous thread closure assembly is described which achieves a required degree of full thread engagement between cap and container with a lessened amount of turning of the cap needed to achieve such engagement. The assembly comprises a container having a sloping, continuous thread finish thereon having a progressively increasing thread diameter in a direction away from the outlet of the container at a conical angle of at least about 40.degree.. A screw cap is provided having a compressible liner, if desired, on the inside of its top and a counterpart thread configuration to that of the container on the inside skirt portion thereof.