The Czech started strongly and managed to hold off a comeback from Ferrer to reach the semi-finals in four sets on the Rod Laver Arena.
"It was physically really tough and after losing the third set I was really not playing my best," BBC Sport quotes Berdych as saying. "After that I tried to stay focus and saved one tough game in the fourth and made a break.
"This is my first win on Rod Laver. The first thought I have right now is to rest and prepare myself because I will definitely need it either if it's Novak Djokovic or Stanislas Wawrinka."
Meanwhile, British number one Andy Murray and Roger Federer will go head-to-head tomorrow for a place in the final four.