A downhole separator performs the function of removing gas from liquids before the liquids enter the well pump. The formation fluid enters into a first, lower, chamber, of the separator and exits through channels to helical passageways on the exterior of the separator body. A shroud surrounds the separator body to serve as an outer wall of the helical passageways. Spiraling movement of the fluid forces the heavier liquids outward and causes separation of the lighter gas. The liquids and gas are ejected from the top of the separator body. The separated liquids drain downward by gravity pull to a liquid reservoir. Liquids in the reservoir are driven upward and flow through channels on the exterior of the separator body into a second, upper chamber, in the separator body which is coupled by tubing to the inlet of the pump.