<Page> Exhibit 21 GENZYME TRANSGENICS CORPORATION SUBSIDIARIES OF THE COMPANY ATIII LLC, a Delaware limited liability company Genzyme Transgenics Securities Corporation, a Massachusetts corporation GTC Cancer Vaccines, Inc., a Delaware corporation GTC Japan Limited, a company organized under the laws of Japan GTC Holding, Ltd., a company organized under the laws of the Cayman Islands TSI Corporation, a Delaware corporation Transgenic Investments, Inc., a Delaware corporation TSI Deutschland GmbH, a company organized under the laws of Germany Health Sciences Research Incorporated, a Delaware corporation