Measure the table top, both length and width to determine the size of the veneer required.
Purchase a sheet of veneer at a lumber yard, woodworking supply store or online supplier.
Remove the old veneer from the table top using a thin chisel or metal putty knife. Wedge the chisel or putty knife under the veneer and lift the old veneer off. Tap the putty knife or chisel gently with a rubber mallet to loosen stubborn veneer.
Use a medium-grit sandpaper to sand off old, dried glue.
Sweep off any dust and then use a tack cloth to pick up remaining dust.
Paint a thin coating of wood glue over the entire surface of the table top.
Place the sheet of veneer over the surface of the table, allowing the excess wood veneer to hang over the edges.
Taking care not to scratch the new veneer, place a sheet of plywood over the top of the table.
Place bricks, heavy books or comparable weight on top of the plywood with the weight evenly distributed over the surface to ensure a strong and even bond.
Allow the glue to dry for 24 hours.
Remove the weights and plywood.
Turn the table upside down.
Use a sharp utility knife to trim the excess wood veneer away from the edges.
Sand edges very lightly with a fine-grit sandpaper.