Security firm G4S has failed to win any of the prison contracts it was bidding for, the Ministry of Justice said.
Competitions to run Northumberland prison and the South Yorkshire group of jails - Lindholme, Hatfield and Moorland - will move to the final stage without G4S in the running.
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The Metropolitan Police Federation, which set up the official JustGiving site, said it felt a "suitable amount" had been collected.
There is no evidence the Westminster attacker Khalid Masood was associated with so-called Islamic State or al Qaeda, the Met Police said.
Janet Ajao said in a statement: "I do not condone his actions nor support the beliefs he held that led to him committing this atrocity."