About 60 Howard University students continued a sit-in last night outside the office of university President James E. Cheek, damanding that he resign and that the school drop its efforts to expel the editor of the campus newspaper.

Cheek did not talk with the students, who chanted and sang slogans in the halls. He left his office about 9:30 p.m.

The demonstration started yesterday morning with about 20 students marching outside the student center. More than 150 students took part after Student Association President Howard Newell rallied others to join in an attempted takeover of the administration building. The students occupied much of the building's fourth floor but did not attempt to bar anyone from entering or leaving.

Yesterday's protest was one in a series that began after university officials expelled Janice McKnight, editor of The Hilltop, the student newspaper, on Feb. 1.

McKnight said she was expelled because she printed articles about sex-discrimination charges filed by a male staff attorney against the university's general counsel. The school said she was expelled for misrepresenting her academic background on her admissions application in 1979.

Last week, a D.C. Superior Court judge ordered McKnight reinstated temporarily. A hearing is to be held next Thursday.