Spurs looked to be returning to winning ways in the Premier League courtesy of a Dele Alli goal early in the second period, but Chris Wood came off the bench to level for Burnley in the second minute of added time at the end of the 90.
Pochettino has admitted that "the feeling is not so great" after dropping home points for the second successive week, but the Argentine has insisted that his team will bounce back after the international break.
"The feeling is not so great because of the way we conceded the last goal. That is football. It was a tough game. Difficult for us to play. We had the chance to score a second or third but we missed. Sometimes you pay," Pochettino told Sky Sports News.
"It is true we concede against Chelsea and the same again today,. We need to stay calm and work hard and be more focused to the end. This is only the beginning of the season. It is better it happen now.
"The only way to fix conceding is to work hard during the week. When everyone is back from the international break we will do that."
Next up for last season's runners-up Tottenham is a trip to Everton on September 9.