The 1902 VPI football team represented Virginia Agricultural and Mechanical College and Polytechnic Institute in the 1902 college football season. The team was led by their head coach R. R. Brown and finished with a record of three wins, three losses, and one tie (3–2–1).

The 1902 college football season had no clear-cut champion, with the Official NCAA Division I Football Records Book listing Michigan and Yale as having been selected national champions.