I've seen that style tray used in vintage Craftsman and Homak tool boxes.
EDIT- It looks like yours is probably from a Craftsman box. The Homak trays I was able to find pictures of online don't have the secondary socket holder section just for small sockets, they just have one long socket section. The attached picture is probably the most likely matching box for your tray. I don't know if Craftsman made that style tool box in different sizes or not. I have one myself, and it has an identical looking tray, but my tray is a little smaller than yours dimensionally. My tool box is Craftsman number 6500, the tool box tray opening is 17.75" x 7.5" and my tray is 17.25" x 6.75". My tray is the same height as yours. As you can see your tray is a little too big dimensionally to fit a 6500 tool box, so maybe the next model number larger would be the one you need?