Eight people began fighting in the orchestra stalls at the Palace Theatre in Manchester shortly after 9pm on the opening night of the show, police said.
A 36-year-old woman was arrested on suspicion of being drunk and disorderly.
A police spokesman said there were no reports of any injuries and no ambulances were dispatched to the theatre.
Lord Of The Dance is choreographed by Irish dance superstar Michael Flatley, and is described as “a high-energy, two-hour fusion of dance styles, from traditional Irish dance to tap, modern and Broadway involving a story of good versus evil, with a Hunger Games flavour”.
No-one from the theatre was available for comment.
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