The tournament has been known by numerous names including Rensselaer Invitational Tournanament, RPI Invitational Christmas Tournament, RPI Christmas Tournament, Rensselaer/Marine Midland Bank Holiday Tournament, Rensselaer/HSBC Holiday Tournament and Rensselaer/Bank of America Holiday Tournament.
| Number | Season | GP | W-L-T | PCT | GF-GA | Position |
|---|---|---|---|---|---|---|
| 1 | 1951-52 | 3 | 2-1-0 | .667 | 13-10 | Third |
| 2 | 1952-53 | 3 | 2-1-0 | .667 | 12-12 | Second |
| 3 | 1953-54 | 3 | 2-1-0 | .667 | 11-5 | Second |
| 4 | 1954-55 | 3 | 0-1-2 | .333 | 6-8 | Third |
| 5 | 1955-56 | 3 | 2-1-0 | .667 | 12-11 | Second |
| 6 | 1956-57 | 3 | 0-2-1 | .167 | 8-11 | Fourth |
| 7 | 1957-58 | 3 | 2-0-1 | .833 | 13-8 | First |
| 8 | 1958-59 | 3 | 2-1-0 | .667 | 17-13 | Second |
| 9 | 1959-60 | 3 | 1-2-0 | .333 | 10-14 | Third |
| 10 | 1960-61 | 3 | 3-0-0 | 1.000 | 20-7 | First |
| 11 | 1961-62 | 3 | 2-1-0 | .667 | 12-13 | Second |
| 12 | 1962-63 | 3 | 0-2-1 | .167 | 9-17 | Fourth |
| 13 | 1963-64 | 3 | 2-1-0 | .667 | 15-11 | First |
| 14 | 1964-65 | 3 | 1-2-0 | .333 | 14-20 | Third |
| 15 | 1965-66 | 3 | 1-2-0 | .333 | 9-20 | Third |
| 16 | 1966-67 | 3 | 1-1-1 | .500 | 12-14 | Third |
| 17 | 1967-68 | 3 | 2-1-0 | .667 | 17-17 | Second |
| 18 | 1968-69 | 3 | 2-1-0 | .667 | 17-11 | Second |
| 19 | 1969-70 | 3 | 2-1-0 | .667 | 12-9 | Second |
| 20 | 1970-71 | 3 | 2-1-0 | .667 | 14-10 | Second |
| 21 | 1971-72 | 3 | 2-1-0 | .667 | 7-8 | Second |
| 22 | 1972-73 | 3 | 2-1-0 | .667 | 13-9 | Second |
| 23 | 1973-74 | 3 | 1-1-1 | .500 | 15-12 | Second |
| 24 | 1974-75 | 3 | 1-2-0 | .333 | 15-16 | Third |
| 25 | 1975-76 | 3 | 2-0-1 | .833 | 14-8 | Second |
| 26 | 1976-77 | 3 | 3-0-0 | 1.000 | 19-13 | First |
| 27 | 1977-78 | 3 | 2-0-1 | .833 | 21-9 | First |
| 28 | 1978-79 | 3 | 2-1-0 | .667 | 18-12 | Second |
| 29 | 1979-80 | 3 | 1-2-0 | .333 | 13-17 | Fourth |
| 30 | 1980-81 | 3 | 2-1-0 | .667 | 25-10 | Second |
| 31 | 1981-82 | 2 | 0-2-0 | .000 | 7-9 | Fourth |
| 32 | 1982-83 | 2 | 2-0-0 | 1.000 | 16-10 | First |
| 33 | 1983-84 | 2 | 2-0-0 | 1.000 | 11-8 | First |
| 34 | 1984-85 | 2 | 2-0-0 | 1.000 | 13-3 | First |
| 35 | 1985-86 | 2 | 2-0-0 | 1.000 | 7-4 | First |
| 36 | 1986-87 | 2 | 0-2-0 | .000 | 4-7 | Fourth |
| 37 | 1987-88 | 2 | 2-0-0 | 1.000 | 15-4 | First |
| 38 | 1988-89 | 2 | 1-1-0 | .500 | 7-2 | Second |
| 39 | 1989-90 | 2 | 2-0-0 | 1.000 | 14-5 | First |
| 40 | 1990-91 | 2 | 2-0-0 | 1.000 | 17-8 | First |
| 41 | 1991-92 | 2 | 1-1-0 | .500 | 7-8 | Second |
| 42 | 1992-93 | 2 | 1-1-0 | .500 | 9-8 | Second |
| 43 | 1993-94 | 2 | 2-0-0 | 1.000 | 23-4 | First |
| 44 | 1994-95 | 2 | 1-1-0 | .500 | 12-12 | Second |
| 45 | 1995-96 | 2 | 0-2-0 | .000 | 6-8 | Fourth |
| 46 | 1996-97 | 2 | 2-0-0 | 1.000 | 15-8 | First |
| 47 | 1997-98 | 2 | 1-1-0 | .500 | 5-3 | Second |
| 48 | 1998-99 | 2 | 2-0-0 | 1.000 | 10-6 | First |
| 49 | 1999-00 | 2 | 1-1-0 | .500 | 6-7 | Second |
| 50 | 2000-01 | 2 | 1-1-0 | .500 | 8-5 | Third |
| 51 | 2001-02 | 2 | 2-0-0 | 1.000 | 8-6 | First |
| 52 | 2002-03 | 2 | 0-2-0 | .000 | 4-6 | Fourth |
| 53 | 2003-04 | 2 | 0-2-0 | .000 | 3-5 | Fourth |
| 54 | 2004-05 | 2 | 1-1-0 | .500 | 2-1 | Second |
| 55 | 2005-06 | 2 | 1-1-0 | .500 | 5-5 | Third |
| 56 | 2006-07 | 2 | 0-1-1 | .250 | 8-10 | Third |
| 57 | 2007-08 | 2 | 0-1-1 | .250 | 4-5 | Second |