The "Spinning Around" singer, 47, started dating Joshua, 27, earlier this year (15) after she filmed a cameo appearance on his hit American television show "Galavant".
"It's my first Christmas with a new partner and, like me, he loves Christmas," she said.
Her parents and younger brother Brendan met Joshua for the first time earlier this month backstage at Minogue's Christmas concert at the Royal Albert Hall in London.