A floor track fitting for securing seating or other equipment to a section of aircraft floor track consists of a pair of substantially U-shaped cleat members and a captive bolt. The cleat members are inserted back-to-back through the holes in the floor track. Once the cleat members are in place, a cover is placed over the cleat members so that the captive bolt passes through the top of the cover. The inside of the cover has a pair of integral spaces that force the cleat members outward against the sides of the track channel holes so that the undercut portion of the cleat members locks onto the underside of the floor track. As the bolt is tightened it presses down on the cover and simultaneously draws the cleat members upward against the underside of the floor track to clamp the floor track firmly between the cleat members and the cover.