A continuous rod centralizer has a cylindrical centralizer body with a first end, a second end, an interior surface defining a bore which receives the continuous rod, and vanes extending radially from the exterior surface. A first rod clamp clamps onto the continuous rod at the first end of the body to confine movement of the body along the continuous rod in a first direction. A second rod clamp clamps onto the continuous rod at the second end of the body to confine movement of the body along the continuous rod in a second direction.