It was Anderson who secured the first break of the match at 1-2, before the South African held serve to move into a one-set lead.
Berdych responded in the second, however, breaking at 2-3 before holding to move into a 5-2 lead. Anderson did manage to hold his next serve, but the Czech levelled it at one-set-all.
Three breaks of serve occurred in the early stages of the third set, but again it was Berdych who recovered as the former runner-up moved ahead in the match.
Anderson threatened to level the match when he broke at 2-3 in the fourth, but consecutive breaks of serve for Berdych in the latter stages allowed the Czech to move into round four.