Fitches Bridge is a wooden covered bridge spanning the West Branch of the Delaware River in the town of Delhi, New York. One of only 24 covered bridges in the state, it is a single-span timber structure 106 feet long and 20 feet wide. First built in 1870 in the village of Delhi, it was moved to its present location in 1885. Its preservation as a 19th-century covered bridge makes it an important surviving example of an older pattern of rural New York road and river crossings, and it joined the National Register of Historic Places in 1999.