Croatian Mirjana Lucic-Baroni has celebrated her drought-busting run to the quarter-finals of the Australian Open with a foul-mouthed but joyful tirade on Margaret Court Arena.

The 34-year-old won through to her first major quarter-final in 18 years on Monday with a 6-4 6-2 success over qualifier Jennifer Brady.

Croatia's Mirjana Lucic-Baroni celebrates her win over Jennifer Brady. Credit:AP

It's understood to be the longest break between appearances in the last eight at grand slams in tennis history.

Understandably, the world No.79 became emotional with the success during an on-court interview.