The Air Pollution Act 1987 obliges everybody not to cause or permit an emission in such a quantity, or in such a manner, as to be a nuisance or cause Air Pollution.
There is an additional obligation on business and other non-domestic operators to use the best practical means to prevent or limit emissions.
The Waste Management Act 1996 prohibits the burning of any waste except in accordance with a permit. The Local Authority may issue such permit for relatively small quantities, subject to conditions. ie burning of natural untreated wood by a sawmill for space heating.