Bennett and Sen. Orrin Hatch, R-Utah, previously supported Mitt Romney for the Republican ticket. Romney ran the 2002 Olympic Winter Games in Salt Lake City and is a member of the Utah-based Church of Jesus Christ of Latter-day Saints.
But Romney dropped out of the race Feb. 7 and later endorsed McCain for the presidency, encouraging his delegates to vote for McCain and for his supporters to get behind the Arizona senator.
"That was sound advice, and I have followed it," Bennett said. "Now, I call on Mike Huckabee to do the same. John McCain deserves the time to unite the party and prepare for the battle in November rather than being distracted by a candidate that hopes lightning will strike even though the thunderstorm has since moved on."