1 EXHIBIT 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We hereby consent to the incorporation by reference in this Registration Statement on Form S-3 of our reports, which include an emphasis paragraph related to a change in the Company's method of revenue recognition for certain contracts, dated March 21, 2001 relating to the financial statements and financial statement schedules, which reports appear in HCC Insurance Holdings, Inc.'s Annual Report on Form 10-K for the year ended December 31, 2000. We also consent to the references to us under the headings "Experts" in such Registration Statement. /s/ PRICEWATERHOUSECOOPERS, LLP Houston, Texas April 4, 2001