The Metropolitan Police said that Samuel Johnson, 40, of Reydon, Suffolk, and Patrick Hart, 37, of Brislington, Bristol, were charged with aggravated trespass.
The duo were escorted out of the stadium by stewards and the game continued, with Saracens going on to win 35-25.
A statement from Commander Kyle Gordon, of the Met, read: “To date we have seen 102 slow marches across London by Just Stop Oil that has caused serious disruption and frustration to those going about their business in the city leading to 51 arrests to date.
“Similarly, yesterday’s incident at the rugby final will have caused frustration to both the players and spectators alike.
“With many other events taking place, and visitors in our capital this weekend, we will continue to monitor and respond to such incidents quickly.
“Where protest moves into criminality or serious disruption, we will take robust action to ensure Londoners and visitors alike can continue to enjoy their Bank Holiday weekend.”