Fullback Chuck Kelly and defensive tackle Wayne Tvrdik were the team captains.[2] The team's statistical leaders included quarterback Stan Quintana with 794 passing yards, Joe Harris with 582 rushing yards and 614 receiving yards, and Claude Ward with 42 points scored.[3]
Three New Mexico players were selected by the United Press International (UPI) as first-team players on the 1964 All-WAC football team: Quintana; Tvrdik; and guard Jack Abendschan. The UPI also selected Quintana as the 1964 WAC Player of the Year, citing his versatility and outstanding play on both offense and defense.[4] Quintana ranked third in the WAC with 1,249 yards of total offense, fourth with 794 passing yards, and fifth with 455 rushing yards (including an 80-yard run against Colorado State).[4] He also set a WAC record for interception return yards (including a 93-yard return against Wyoming),[5] and his average of 7.3 yard of total offense per play in 1964 remains a New Mexico school record.[6]
Though New Mexico shared the WAC title with Arizona and Utah, neither of them made a bowl appearance due to fewer bowl games at the time. The Lobos defeated the Wildcats but lost to the Utes, which led to the three-way tie atop the WAC standings.