| Year: | 1963 |
| Team: | Grambling Tigers |
| Sport: | football |
| Conference: | Southwestern Athletic Conference |
| Short Conf: | SWAC |
| Record: | 5–3–1 |
| Conf Record: | 3–3–1 |
| Head Coach: | Eddie Robinson |
| Hc Year: | 21st |
| Stadium: | Grambling Stadium |
The 1963 Grambling Tigers football team represented Grambling College (now known as Grambling State University) as a member of the Southwestern Athletic Conference (SWAC) during the 1963 NCAA College Division football season. Led by 21st-year head coach Eddie Robinson, the Tigers compiled an overall record of 5–3–1 and a mark of 3–3–1 in conference play, and finished tied for fourth in the SWAC.