The tickets are for Chicago Human Rhythm Project's "Global Rhythms" shows at 8 p.m. Saturday and 7 p.m. Sunday.
Maggie Daley was known as a patron of the city's arts and culture. The company says the giveaway is to honor Daley "and her commitment to making the arts accessible to everyone."
Tickets will be given on a first-come, first-serve basis and must be picked up between 12 p.m. and 7 Saturday and between 12 p.m. and 6 p.m. Sunday at the Harris Theater box office.
For more information, http://www.chicagotap.org
(The Associated Press contributed to this report).