Their cars made contact three times after an eight-car accident during practice runs at the Daytona International Speedway resumed for Saturday's race.
"Stewart and Busch were immediately summoned to a meeting with NASCAR vice president for competition Robin Pemberton and Sprint Cup Series director John Darby," said NASCAR vice president for corporate communications Jim Hunter. "Professional race drivers need to control their emotions when they're in the race car, and I think we've shown in the past that we'll do whatever we need to do to make sure they do. There's a lot of emotion in driving a race car, and I think this was an example of that. Both drivers were emotional."
Saturday morning's meeting will be the second time in 10 months that Stewart has been summoned to one with NASCAR's top officials before a race.
Senate Democrats to pull all-nighter on climate change
Interpol investigating stolen passports on missing flight