Yes, you can approach the Environmental Health Department and ask them to assess whether the problem constitutes a 'statutory nuisance' under the Environmental Protection Act 1990. This could be defined as such if the problem is seen to be 'prejudicial to health'. If any of the occupants suffer from asthma or other respiratory problems this is more likely. The drawback here is that the Environmental Health Dept cannot take its own council to court, so you would have to take proceedings yourself (or another so-called 'agreived person' who is affected by the damp. Of course what is the main issue is the cause of the problem. Depending on the identified cause - and an indpendent surveyor will be able to judge this - the landlord may have a legal duty to rectify, which could be by improving heating, venilation or insulation - or a combination of these. My advice would be to contact either a housing solicitor, or a law centre, or a CAB to take this further. This could go in tandem with a complaint against the landlord.