Bridgeline Environmental Services Ltd pleaded guilty to the offences at Laganside Crown Court.
A nominal £500 fine was imposed, but the judge said that it would have been more had the company still been solvent.
The case arose out of a Health & Safety Executive for Northern Ireland (HSENI) inspection on 23 July 2009 at the former Courtaulds site in Carrickfergus, which was known to contain asbestos.
A worker was observed using burning equipment to cut up a large structure. On closer examination the inspectors saw suspected asbestos in the area close to the structure.
A prohibition notice was served on Bridgeline Environmental Services to stop this work.
A follow up examination of the area was carried out and more asbestos was found in a dangerous condition.
A spokesperson for HSENI said: “This case should serve as a warning to any contractors working with asbestos to ensure that proper procedures are put in place so that this dangerous material is handled and disposed of safely, and to make sure that both workers and members of the public are completely protected from exposure to asbestos fibres.”