As your husband works in the construction industry, the likelihood is that any work he gets in that industry will be irregular for the forseable future. However, there are a couple of things that your husband should consider doing:
1. Can your husband get some part time work in evenings/weekends - stacking shelves in supermarket, fast foot restaurant, delivering takeaways/pizzas, cleaning, security etc. If you look around, it is still possible to get these types of jobs. They may not be well paid, they may not be glamourous, but they do pay the bills. If your husband works a few hours in the evenings or at weekends it will give you additional regular guaranteed income. And doing these types of jobs will not prevent him from taking whatever construction work he can get as the hours of work do not clash.
2. Has your husband considered retraining to another profession? Something he should seriously consider and, as he's unemployed, he may have access to courses etc. that he doesnt have to pay for. Doing a course will also keep him active and help is self esteem.