The pharmaceutical firm, part of a global chain, was fined a paltry £1,000 for one charge and given a conditional discharge for another seven. Costs were set at £3,168.
Norbrook was bailed on appeal for the sum of £500.
The Industrial Pollution and Radiochemical Inspectorate, now part of the Northern Ireland Environment Agency, was alerted to the breach by a tip-off in 2004.
Despite several requests by the Agency, the company refused to apply for permits, arguing the incinerators were not covered by the legislation.