In further messages on Twitter, Ms Hopkins also called for Britain to follow the example of Israel and its Prime Minister Benjamin Netanyahu.
She wrote: “My kids asked why Israel stays so safe. Because BiBi is not afraid of action. And the IDF aren't afraid of anything. “
Social media users immediately labelled her post as a incitement to genocide.
The Independent newspaper said she has been reported to the Metropolitan Police over the “final solution” tweet, which was part of a longer anti-Muslim tirade.
A spokesperson for the Metropolitan Police said: “We can confirm that a complaint has been received by the Metropolitan Police Service on Tuesday, 23 May in relation to a Tweet published on the same day. “As is routine, the allegation will be reviewed and assessed by specialist officers.”
Her initial Tweet to Mr Schofield said:”22 dead – number rising. Schofield. Don’t know even dare. Do not be part of the problem. We need a final solution. #Machester”
The Tweet was later amended to correct the spelling of #Manchester and to state “We need a true solution.”
Ms Hopkins also made controversial comments in the wake of the Westminster terror attack, telling Fox News that Londoners were “cowed”, “afraid” and “not united”.