A rail anchor and a rail anchor assembly are provided for use with a concrete railroad tie. An elastomeric plate is placed on a top surface of the railroad tie. A rigid plate is placed on top of the elastomeric plate. The rail anchor is placed adjacent the elastomeric plate and the rigid plate. The rail anchor has a first end with a receiving opening and a second end with a receiving indentation to receive edges of the flanges of the railroad rail. The rail anchor has a center portion joining the two ends. The outer portion of the rail anchor extends downwardly an amount less than the thickness of the elastomeric plate and the rigid plate to avoid contact with the concrete railroad tie.