Collins said Twyford had his priorities wrong.
"He should be ensuring law-abiding families are able to continue living their lives without fear of their neighbours, instead he's willing to protect tenants who are involved in criminal behaviour and disrupting the entire street."
Twyford said Collins was using "scaremongering" tactics and Housing NZ did not have a no-evictions policy.
"Their policy is to try to sustain tenancies, as those evicted from state houses often end up homeless and become a greater burden on our health, social and justice sectors. As a last resort Housing NZ can and will evict tenants."
He said he "felt" for the Hastings family but the issue was not state housing.
"I know from my work as an electorate MP in West Auckland how disruptive and stressful antisocial neighbours can be and I feel for this family.
"However, antisocial behaviour can come from any neighbour, not just from the 4 per cent of New Zealanders that live in state housing.
"Unlike antisocial neighbours in private housing, Housing NZ has the opportunity to work with their tenants to resolve such issues."
He added that history was a great reminder of what happens when Housing New Zealand tenants get evicted.
"New Zealanders are well aware of the dangers of Housing NZ evicting tenants to make ministers look tough, as was done with the meth fiasco under Judith Collins' government."
Collins said Twyford needed to take control of Housing New Zealand.
"A home should be a safe haven for families, not a place of intimidation and fear."