The club legend and former Italy midfielder was given the job in January when Jose Mourinho was sacked.
He signed a contract that runs until the end on the season with a promise that it would be renewed if he proved up to the challenge – which he has.
Roma have been in excellent form since De Rossi took over.
They have climbed up the Serie A table to fifth place and look set to qualify for next season’s Champions League.
They also eliminated AC Milan from the Europa League quarters, 3-1 on aggregate.
“After meeting yesterday afternoon with Daniele De Rossi, we are delighted to announce he will continue as Head Coach of AS Roma after this season and for the foreseeable future,” the statement said.
“In his short tenure as Head Coach, the positive impact that his leadership has brought to the entire club has told its own story.
“Daniele leads with respect and courage, while his strength and deep-rooted belief in the club are truly aligned with Roma’s values, city and unparalleled fans.
“We will continue to work together as hard as we possibly can to deliver a future that AS Roma’s fans deserve.
“We couldn’t be happier to build a long-term project with Daniele.
“Further details to follow in the coming days.
“Forza Roma!”
ANSA