Continued Dumping or Subsidy Offset Act of 1998

Continued Dumping or Subsidy Offset Act of 1998 - Amends the Tariff Act of 1930 to declare that, whenever continued dumping or subsidization is found to exist by the administering authority or by operation of law, any duties assessed shall be distributed as continued dumping or subsidy offsets to the affected domestic producers for qualifying expenditures on an annual basis.

Limits qualifying expenditures to expenditures incurred since the issuance of the antidumping duty finding or order or countervailing duty order in any or all of the categories of plant, equipment, research and development (R&D), personnel training, acquisition of technology, employer-paid employee health care and pension benefits, and environmental equipment, training or technology.

Directs the Commissioner of the U.S. Customs Service to prescribe offset disbursement procedures. Sets forth general procedures for notification of eligible parties.

Requires the Commissioner to establish a special account in the Treasury to receive all antidumping or countervailing duties, including interest, for distribution according to this Act, within 14 days after an antidumping or countervailing duty order takes effect.