Anh Nhu Nguyen, 52, of Beckenham, south-east London, is accused of defrauding charities and Kensington and Chelsea Council by posing as a victim of the fire for nearly two weeks.
He pleaded not guilty to both counts at Southwark Crown Court on Friday.
He was remanded in custody and his trial is due to take place in December.
Westminster Magistrates' Court heard last month that Mr Nguyen claimed he lived in the North Kensington block, and that his wife and son had died in the blaze.
The court also heard he was given a hotel room, clothing, food, electrical items and cash after he went to the Westway Sports Centre, where he allegedly claimed to have lost all his possessions,
The centre had been set up as one of the focal points for the local relief effort.
The tower block fire on 14 June killed at least 80 people and made hundreds homeless.

Goalkeeper Manny Agboola, 18, will be on the bench after being recalled from a loan spell at North Leigh.
Newcastle boss Rafael Benitez is likely to make changes again, as he did in the last round against Birmingham.
Striker Aleksandar Mitrovic (knee) and midfielder Jack Colback (illness) could return.
Oxford United manager Michael Appleton told BBC Radio Oxford:
"If we beat Newcastle, it would probably be as big a win for me as I've ever had as a manager.
"I remember being manager of Blackburn in the FA Cup fifth round and we went to Arsenal and became the only team to beat them in a FA Cup tie at the Emirates.
"That was some achievement as we probably spent about 80% of the game on the back foot. But for me, if Newcastle were in the Premier League right now, they'd be a top-10 team.
"They've got a fantastic manager, are a great club with a winning mentality and with fantastic support behind them."
Newcastle United boss Rafael Benitez:
"We knew we had to make changes [in the last round against Birmingham] because we have so many games.
"It is important to win, but using the squad and not taking too many risks with players was important. This competition is always difficult, but we will try to go through.
"When you play against any team at this stage, especially away from home, it gives them extra motivation."

It began just before 14:00 GMT at the property in Grove Lane on the outskirts of Elmswell, near Bury St Edmunds.
Progress at the scene has been "slow due to the weather conditions", Suffolk Fire and Rescue Service said.
Nine crews remained at the property into the evening, removing the thatch and damping down hot spots. At its peak 16 crews attended the blaze.
The cause of the fire is not yet known.
A man accused of claiming almost Â£10,000 after allegedly pretending his family died in the Grenfell Tower fire has denied two counts of fraud.
[NEXT_CONCEPT]
Oxford United could hand a debut to striker Toni Martinez after his loan move from West Ham, but forward Chris Maguire (thigh) faces a fitness test.
[NEXT_CONCEPT]
A fire has ripped through the first floor of a thatched house in a Suffolk village.