Cut a piece of 2-inch thick wood into a 12-by-12-inch square. Sand the edges and top smooth.
Cut a broom or mop handle into two 12-inch pieces. Smooth with sandpaper.
Drill and bore a hole big enough around for the broom handle in the center of the wooden square. Smooth the inside and edges with sandpaper.
Measure 4-inches from the center hole in the board toward one of the corners. Bore a matching hole at this measured point.
Stain or paint all the wooden pieces. Apply the finish with a clean cloth and allow to dry for up to 24 hours.
Apply wood glue to the interior of each bored hole and place the cut pieces of handle into the hole. Wait at least 12 hours to use the holder.