The Celebrity Big Brother star was arrested in the early hours of Friday morning (11 April).
According to The Sun, Lee was picked up by police after allegedly driving his Range Rover dangerously at 5.30am after a night out with his bandmate Duncan James.
Dad-of-two Lee, 30, was taken into custody at a local station, where he was charged with failing to provide a specimen and criminal damage.
A Met Police spokesperson told the newspaper: "Police stopped a car after officers witnessed it being driven erratically. The driver was arrested on suspicion of drink driving and taken into custody.
"He was subsequently further arrested on suspicion of possession of Class A drugs and criminal damage."
The singer's official spokesperson has now released a statement confirming Lee's arrest.
The statement says: "I can confirm that Lee was arrested in the early hours of Friday morning. He was arrested on suspicion of drink driving and is awaiting a court date.
"He was charged with failure to provide a specimen and criminal damage. A controlled substance was found in his possession.
"This low point has caused considerable concern to Lee's family, loved ones, and of course the Blue boys... No excuses will be made on Lee's behalf, but he will be seeking professional help for those issues that he has been unable to overcome on his own."
Earlier this year, Lee received death threats after appearing on CBB and toying with the affections of fellow contestants Casey Batchelor and Jasmin Waltz, who he went on to briefly date.
Blue will be joining male groups from series one and two of TV show Big Reunion for an ultimate boy band tour in October.
5ive, Blue, 911, A1, 3T, 5th Story and Damage will be on the road for the 13-date tour.
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