Lawyers for the three-time Wimbledon champion pleaded with a Bankruptcy Court registrar to allow Becker a "last chance" to pay off the debt.
But Registrar Christine Derrett, who recalled watching Becker play on Centre Court, ruled there was a lack of credible evidence the outstanding payment would be forthcoming and refused to adjourn the case.
"One has the impression of a man with his head in the sand," she said of the six-time major winner after making the bankruptcy order following a brief hearing.