Democrat Hillary Clinton is set to receive her briefings separately.
The sessions -- designed to prepare candidates for the nation's highest office in the event they win November's general election -- provide information about global threats against the United States.
However, Trump received no information about intelligence operations or espionage, NBC reported.
Democrats have raised concerns about whether Trump is fit to receive classified information, including President Barack Obama, who issued a thinly-veiled warning at a news conference earlier this month.
"If they want to be president, they have got to start acting like (a) president," he said in a clear reference to Trump.
"That means being able to receive these briefings and not spreading them around."