McDonagh was about to answer a question about forward Steven Stamkos' impact on the Lightning's postseason run and Stamkos being able to play in Game 3 of the Cup Final when Kucherov jumped into the interview next to Point.
"Who's next? Who's next? Next question, Smitty, Smitty, are you there?" Kucherov said, likely referring to Lightning beat reporter Joe Smith of The Athletic.
Kucherov was the leading scorer in the postseason with 34 points (seven goals, 27 assists) in 25 games.
In the midst of the hilarious interruption, McDonagh was at a loss in getting to that question about Stamkos.
"I don't know if I can answer," he said.
Lightning forward Alex Killorn also jumped into the interviews.
"We're not staying here all night, man," he said.
Kucherov and Killorn, who were part of the final player portion of the press conference with goaltender Andre Vasilevksiy, got their wish and got to start their portion of the press conference soon after. When asked how he was feeling, Kucherov answered while looking at his cell phone.
"I feel good," Kucherov said with his head down, smiling. "I feel awesome. At the same time, I can't really tell you how I feel. Just really excited."