Statistics Canada's annual census of full-time faculty at all Canadian universities, between 1984 to 1999, is used to measure the effect of gender, discipline, and institution on promotion from assistant to associate professor and from associate to full professor. Accelerated failure time models show that gender has some effect on rates of promotion, but that disciplinary and institutional variation are much greater. Generally, departments in science, engineering, and professional schools promote their faculty more rapidly, while disciplines strongly oriented to training practitioners are slowest. There is considerable variation among institutions, but this is not strongly linked to institutional characteristics such as size and prestige. All these factors more strongly affect the length of time for promotion from associate to full professor, than for promotion from assistant to associate professor. (Contains 4 tables, 1 chart, and 8 footnotes.)