Tottenham keeper Lloris, 31, was charged and bailed following a routine patrol stop in the early hours of August 24.
The court heard police in an unmarked vehicle spotted Lloris' Porsche driving at 15mph in a 30mph zone.
They had to help the goalkeeper from his auto.
"Just 40 days later, he was arrested".
"I wish to apologise wholeheartedly to my family, the club, my teammates, the manager and all of the supporters", Lloris had earlier said in a statement.
"Drink-driving is completely unacceptable, I take full responsibility for my actions and it is not the example I wish to set".
When cops pulled him over, "Officers observed his speech was slurred, he was helped from the vehicle by an officer, he was unstable on his feet, and there was evidence of vomit at the scene". He had initially booked a taxi but it cancelled, prompting Lloris to drive - something described by Mr Sonn as "the first of a number of unwise decisions".
When sentencing, the magistrate said the fine represented the seriousness of the offence as well as the goalkeeper's financial means.
Lloris, of East Finchley, spent a night in a cell at Charing Cross police station after failing a breath test in Marylebone.
He said a taxi which had booked cancelled so Lloris made "the first of a number of unwise decisions" and chose to drive home.
If he pleads guilty, he faces a driving ban and a hefty fine based on his earnings.
Lloris has made 207 appearances in the Premier League since joining Spurs from Lyon in 2012.