The commission said in a statement Thursday that it took the action because Cyrus often "undertakes acts that go against morals and customs, which are punishable by Dominican law."
Tickets ranging from $27 to $370 for the concert in the capital have been on sale since July.
Some critics have declared Cyrus's onstage antics, including twerking and crotch-grabbing, as vulgar.
A representative for Cyrus did not immediately respond to a request for comment. Concert organizers in the Dominican Republic did not comment on the ban.
The commission in the past has banned songs it considers vulgar from the airwaves, including some by Calle 13 of Puerto Rico.