Leinster centre Ringrose broke his jaw early in last weekend's 50-17 hammering of Italy after being caught by Edoardo Padovani's knee and will miss the next six weeks.
Fellow Leinster player Henshaw came on for Ringrose at the Aviva Stadium and will now start the crucial clash with France at the Stade de France.
Ireland head into their final match of the elongated tournament knowing that a bonus-point victory will secure a fourth title in seven years.
As a result of Henshaw dropping out of the squad, Chris Farrell has been drafted into the Ireland replacements.
Prop Cian Healy is set to win his 100th cap and Johnny Sexton will once again captain Ireland, who are a point ahead of England – whose final game is against Italy in Rome – and opponents France.
Ireland: Jacob Stockdale, Andrew Conway, Robbie Henshaw, Bundee Aki, Hugo Keenan, Johnny Sexton (c), Conor Murray; Cian Healy, Rob Herring, Andrew Porter, Tadhg Beirne, James Ryan, Caelan Doris, Will Connors, CJ Stander.
Replacements: Dave Heffernan, Ed Byrne, Finlay Bealham, Ultan Dillane, Peter O'Mahony, Jamison Gibson-Park, Ross Byrne, Chris Farrell.