The Giants did not have a first-round selection in the 1968 NFL Draft; their first pick was Rich Buzin, taken in the second round with the 41st overall pick. New York began the season with a four-game winning streak. After a four-game stretch in which they had three losses, the Giants went to Dallas and posted an upset victory, 27–21. With that win and a victory against the Philadelphia Eagles the following week, the Giants moved into contention for a Capitol Division championship. However, they lost the final four games of the season. The 1968 regular season was Allie Sherman's last as head coach of the Giants; he was fired after the preseason in 1969.