The probe was launched after a man complained to Leicestershire Police that Stella Creasy's children should be taken into care.
The Labour MP told Today on BBC Radio 4 he made the complaint as he disagreed with her campaign against misogyny.
Waltham Forest Council decided no action was needed against her.
The Walthamstow MP told the Today programme the man, from Leicester, had initially emailed her office angry about the work she was doing to tackle violence against women.
She ignored them as she gets "a lot of emails like that, lots of MPs do and you think people are entitled to their opinion".
She then received a call from social services informing her they had held a safeguarding investigation over an allegation her children were at "direct risk".
They then told her they thought she was the person who may be at risk "because of the way in which this person is targeting me", she said, adding social services wanted to know how to raise concerns about her safety with the parliamentary policing system.
Stella Creasy: MP left humiliated after online troll contacted police - BBC News