Shire stands to be paid a break-up fee of about $1.64 billion if Abbvie's shareholders vote against the deal.
Chicago-based AbbVie had previously been eager to buy Shire, partly due to the opportunity to reduce its U.S. tax bill by moving its tax base to Britain.
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A spate of tax-inversion deals, particularly in the healthcare sector, prompted proposals by the U.S. Treasury to change tax regulations, including a ban on loans that allow U.S. companies to access foreign cash without paying tax in the United States.
Gonzalez said the breadth and scope of the changes "introduced an unacceptable level of uncertainty to the transaction."
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Representatives for Shire were not available for comment outside regular business hours.