Ivy League college tuition hikes for next year will range from as low as 4 percent to as high as 6.7 percent, according to administrators at several universities.

Yale, Princeton, Dartmouth and Columbia all reported varying rate increases.

Harvard's tuition and fees for the academic year 1992-1993 will be approximately 6 to 7 percent greater than this year's, President Neil L. Rudenstine said Monday.

The University has not yet decided what next year's tuition bill will be and officials said yesterday they did not know when the final figure would be released.

This year's tuition-- $23,700, including room, board and personal expenses--reflects an increase of 6.3 percent from last year.

Yale's all-inclusive tuition for next year will be $23,700, a 6.7 percent increase from the 1991-1992 bill.

Princeton's total tuition package will be $23,267, a 6.3 percent increase from this year's.

Dartmouth's tuition will be $22,980, which is a 5.8 percent increase from this year.

Columbia's tuition package will be $24,482, which designates a 4 percent raise from the previous year.

The Office of Financial Aid at Byerly Hall declined to confirm the estimate of Harvard's tuition hike provided by Rudenstine.