Abuse of power and breach of trust charges carry a maximum penalty of 20 years in prison for each count.
In a packed courtroom, the three new charges were read out to Mr Najib.
Last month, Najib was arrested and charged with abuse of power and criminal breach of trust following a probe into SRC International.
Fines as much as five times the amount for each money-laundering charge can be imposed as well.
The new charges allege 42 million ringgit stemming from illegal activities was transferred to a bank account between December 2014 and February 2015.
"He will be charged under the Anti-Money Laundering, Anti-Terrorism Financing and Proceeds of Unlawful Activities Act (Amla) 2001", said the MACC.
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Earlier, the head of the Appellate and Trial Division in the Attorney-General's Chambers, Datuk Mohamad Hanafiah Zakaria, applied for the case to be transferred to the High Court.
The prosecution team, led by Datuk Mohamad Hanafiah Zakaria, applied to have it heard together with the previous charges before another High Court. He pleaded not guilty, and was granted bail.
Najib chaired the 1mdb the whole time while the sovereign fund became bankrupt and had to sell its assets - bought at higher prices than market value - to recover its debts, the opposition said during the elections.
Reopening the investigations into 1MDB after Najib lost power, Malaysian anti-graft officers have revealed how their earlier investigations were obstructed by Najib's government.
SRC International was a subsidiary of 1Malaysia Development Berhad (1MDB).
Money allegedly siphoned off from SRC represents only a small fraction of the billions of dollars misappropriated from 1MDB, according to lawsuits filed in the USA courts by the Department of Justice which investigated the scandal. Police also seized jewelry and valuables valued at more than 1.1 billion ringgit ($270.2 million) from properties linked to Najib. On Tuesday, a luxury yacht allegedly paid for with about $250 million stolen from 1MDB arrived outside Kuala Lumpur after being handed over by Indonesian authorities, who impounded it following a DoJ request.