The Gifford Covered Bridge, also called the C.K. Smith Covered Bridge, is a wooden covered bridge that crosses the Second Branch of the White River in Randolph, Vermont on Hyde Road. It was listed on the National Register of Historic Places in 1974.The bridge is of King post truss design by an unknown builder. This bridge is one of only two covered bridges in Vermont (the other being the nearby Braley Covered Bridge) in which the king-post truss reaches only half the height of the bridge.