| Year Game Played: | 1963 |
| Game Name: | Sugar Bowl |
| Football Season: | 1962 |
| Visitor Name Short: | Ole Miss |
| Visitor Nickname: | Rebels |
| Visitor School: | University of Mississippi |
| Home Name Short: | Arkansas |
| Home Nickname: | Razorbacks |
| Home School: | University of Arkansas |
| Visitor Record: | 9–0 |
| Visitor Conference: | SEC |
| Home Record: | 9–1 |
| Home Conference: | SWC |
| Visitor Coach: | Johnny Vaught |
| Home Coach: | Frank Broyles |
| Visitor Rank Ap: | 3 |
| Visitor Rank Coaches: | 3 |
| Home Rank Ap: | 6 |
| Home Rank Coaches: | 6 |
| Visitor 1Q: | 0 |
| Visitor 2Q: | 10 |
| Visitor 3Q: | 7 |
| Visitor 4Q: | 0 |
| Home 1Q: | 0 |
| Home 2Q: | 3 |
| Home 3Q: | 10 |
| Home 4Q: | 0 |
| Date Game Played: | January 1 |
| Stadium: | Tulane Stadium |
| City: | New Orleans, Louisiana |
| Mvp: | Glynn Griffing |
| Referee: | Charles W. Bowen (SEC) (split crew between SEC & SWC) |
| Attendance: | 82,096 |
| Us Network: | NBC |
The 1963 Sugar Bowl featured the 3rd ranked Ole Miss Rebels, and the 6th ranked Arkansas Razorbacks.
Ole Miss took the early 3–0 lead in the second quarter, after a 30-yard Irwin field goal. Arkansas answered with a 30-yard field goal from Tom McKnelly, tying the game at 3-3. Quarterback Glynn Griffing threw a 33-yard touchdown pass to Louis Guy, giving Ole Miss a 10–3 lead at halftime.
In the third quarter, Razorback quarterback Billy Moore, who was eventually knocked out of the game by Ole Miss' Buck Randall, found Jesse Branch for a 5-yard touchdown pass that tied the game at 10. Glynn Griffin scored on a 1-yard touchdown run giving Ole Miss a 17–10 lead. A 22-yard Tom McKnelly field goal in the fourth quarter, pulled the Razorbacks to 17–13, but Ole Miss held on for the win. Glynn Griffin was named Sugar Bowl MVP.