He was summoned almost two weeks after the defeat of his long-ruling coalition in national elections, a loss partly due to public anger over alleged corruption at the 1MDB state investment fund that Najib set up.
"Najib has lodged a police report asking for protection for himself and his family as they fear for their safety after the 14th general election", a Najib spokesman told Bernama news agency.
He added: "We wanted to bring back money that was stolen back to our country".
The MACC is "trying hard" to get cooperation from countries including United Arab Emirates, Qatar and Saudi Arabia to access overseas statements, as it only has domestic documents at the moment, Mohd Shukri said.
Mahathir's office also announced the establishment of a new task force made up of members of the anti-graft agency, police and the central bank, which would liaise with "enforcement agencies in the United States, Switzerland, Singapore, Canada and other related countries", investigating 1MDB.
Malaysia's scandal-tainted former leader Sunday denied he stole public funds and complained of the way he has been treated since he unexpectedly lost power in a stunning election defeat. The new government has reopened an investigation into the case, with police raiding Najib's properties and seizing more than 300 expensive handbags as well as suitcases filled with cash, jewelry and other valuables.
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Malaysia's Anti-Corruption Commission has summoned Razak for questioning on Tuesday over the 1MDB case.
The money was in addition to about $700 million that US investigators said ended in Najib's bank account.
The money is thought to have come from the 1Malaysia Development Berhad (1MDB), a multi-billion-dollar state developed fund from which around $4.5 billion went missing in 2015.
Ownership of SRC had been transferred to Malaysia's finance ministry by February 2012, lowering 1MDB's gearing ratio to 9.5 times, from 12 times, and removing the state guarantee for 1MDB, according to the report.
The US Department of Justice refers to Najib as "Malaysian Official Number 1" in its anti-kleptocracy investigation into 1MDB. US investigators say Najib's associates stole and laundered $4.5 billion from the fund, some of which landed in Najib's bank account. "Whenever possible, recovered assets will be used to benefit the people harmed by these acts of corruption and abuse of office".