The suspensions, for two preseason events and two regular-season games, were announced Wednesday.
Buie, who transferred after playing 11 games and averaging 5.4 points for Penn State, is a 6-foot-2 sophomore guard from Albany.
Coombs-McDaniel played two seasons at Connecticut and was a member of the 2011 national championship team. The 6-7 junior forward from Dorchester, Mass., averaged 4.5 points and 2.0 rebounds at Connecticut.
They will miss regular-season road games against Monmouth and Purdue.
Hofstra cited student privacy laws in providing no further information.