West Point Township is one of twelve townships in White County, Indiana, United States. As of the 2020 census, its population was 357 and it contained 136 housing units.
West Point Township was organized in 1845, and was named for a large tract of forest in the western part.
According to the 2010 census, the township has a total area of , of which (or 99.87%) is land and (or 0.13%) is water.
The township contains West Point Cemetery. Near the back of this cemetery is a marker for Alexander Lawrie, a northern captain in the Civil War and an artist of the Hudson River School. The market claims that Lawrie made a gift to the Indiana Museum of a set of 100 paintings of Civil War generals.