"I don't think it will have any influence for either team," Deschamps told a news conference on the eve of the game in Lyon.
"I will not use it and I don't think my Ireland counterpart Martin O'Neill will either."
France qualified for the 2010 World Cup courtesy of a controversial 1-1 draw in the return leg of their playoff with Ireland, in November 2009 at Stade de France.
Henry blatantly handled the ball before setting up William Gallas for France's equaliser deep into extra time.
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"Seeking revenge is not something you do in top-level football, especially after so many years have gone by," Deschamps said. "This is a new story for both teams".
Ireland manager Martin O'Neill did say the 2009 drama would be extra motivation for his players but he insisted they had plenty of it regardless of the lasting effects of that moment of injustice.
France goalkeeper and captain Hugo Lloris said he shared Deschamps's view that the incident belonged to the past.
"I don't know if they will want revenge but for us, it's history," he said. "I think all the teams have an extra motivation when they play, just because they want to beat the host nation".
(Writing by Patrick Vignal, editing by Ed Osmond)
