Locate the closest stud on each side of a vertical duct and the closest joist for a horizontal duct. Nail a row of two-by-fours running parallel to the duct to the studs or joists. The two-by-fours should run the length of the duct and will serve as support for the soffit.
Cut several two-by-fours into 12-inch boards. Nail these pieces to the support boards at 24-inch intervals on each side of the duct. Each piece should be directly across from a corresponding piece on the other side of the duct. Attach another piece that crosses the duct and connects the corresponding pieces to form a box around the duct.
Measure the box and cut drywall to fit. Apply a thin coat of joint compound along the wallboard seams using your wallboard knife. Press a strip of drywall tape into the compound along the seams, and press a strip of corner bead onto the corners. Apply a second coat of compound, and let the mud dry overnight. Apply an additional coat of compound, let it dry, then sand with medium-grit sandpaper to smooth.