The chart-topping singer-songwriter, real name Alexander O'Connor, from Surrey, appeared at Southwark Crown Court in London on Monday.
He pleaded not guilty to the allegations of intentional touching of a sexual nature without consent, and his trial was scheduled for 3 January.
Alexander James O'Connor, known professionally as Rex Orange County, is an English singer, multi-instrumentalist and songwriter
O'Connor rose to prominence in 2017 following multiple features on Tyler, the Creator's Grammy-nominated album Flower Boy, including the single "Boredom"
"Alex is shocked by the allegations which he denies and looks forward to clearing his name in court," a statement issued on his behalf said.
The Sun reported that the assaults were alleged to have taken place in a taxi and his London home in early June. He has been released on unconditional bail until the trial.
He said that he was cancelling his European, Australian and New Zealand tour dates because, "due to unforeseen personal circumstances, I am having to spend some time at home this year".