After graduating, the New York Giants drafted him as the 95th pick of the seventh round of the 1961 NFL Draft. The Giants had a 12–2 record during their 1962 season and finished first in the NFL Eastern division. Collier wore number 84 and played thirteen games with one reception for 27 yards. However, he did not get much playing time because he was behind teammates such as Frank Gifford, Del Shofner, and Joe Walton, and he "didn't run fast enough to play in the pros." He scored the only touchdown for the New York Giants in the 1962 NFL Championship Game against the Green Bay Packers when he recovered Packer Max McGee's punt on the goal line after Erich Barnes broke through the defense and blocked the ball. After scoring the extra point, the Giants trailed 10–7 but did not score again and ended up losing the game 16–7.