If Muimpe Hana and Rodger Robar fail to obey the injunction issued by High Court judge, Mr Justice Wilkie, they could face heavy fines - or even jail terms - for contempt of court.
Mr Rankin, representing Enfield LBC, said the council had tried a 'subtle approach' to reducing the problem, writing letters to the club's owners, but told the judge: 'It appears that little, if anything, was done'.
The council issued a noise abatement notice on 25 August last year, but that too 'had little effect', Mr Rankin told the judge, sitting at London's High Court.
Between the notice being issued and 22 January this year, the council received 10 more complaints and, on that date, the council launched a prosecution under the Environmental Protection Act after one of its officers heard loud bass beats in a nearby home at 1.50am.
That case is due to be heard by local magistrates on 5 October, but Mr Rankin said that, if the owners are found guilty, the justices will only have power to fine them.
Even the threat of prosecution had not discourage the pair, said Mr Rankin, who told the judge that between 22 January and 13 August there had been no less than 27 more complaints.
He told the judge: 'The question remains as to what else can be done by the council when it is faced with operators who are unable or unwilling to comply with the notice.
'It (the council) is obliged to do what it can within its powers to maintain an ambience of a law-abiding community.
'The view that Enfield takes is that an injunction is the only way of halting the continued breaches of the notice...these amount to deliberate and flagrant flouting of the law.'
He said the High Court would have 'greater powers' than magistrates to deal with the owners if they continued their defiance - including committing them to prison for contempt.
'That may serve to concentrate the minds of the defendants', added the barrister.
Mr Justice Wilkie issued the injunction after a brief hearing.
STRAND NEWS SERVICE