Her upcoming New Zealand show in October has been branded as "porn" by Family First spokesman Bob McCoskrie.
"Parents should save their money, protect their children and expose them to the far more positive messages of celebrating their achievements, their personality and their uniqueness," he said.
Cyrus has hit back at criticisms, saying her show is empowering for fans.
"The sexual aspect of our show isn't targeted at men ... It's what women think is sexy and cool and strong," she told NZ Herald supplement TimeOut.
A representative for Cyrus did not immediately respond to a request for comment.
Concert organisers 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.
- AP with AAP and nzherald.co.nz