The 70-year-old actor has a cameo in Baz Luhrmann's 'The Great Gatsby' and Bachchan said the event became more memorable as the festival is celebrating 100 years of Indian cinema.
"Acknowledging Cannes in recognising 100 years of Indian Cinema, it was absolutely imperative for me to address, in my mother tongue... Director of Cannes delighted to hear the 'music of the Hindi language' spoken, it brought in the universality of the occasion," Bachchan posted on Twitter.
"The honour and respect meted out by Cannes, incredible. Announcing suddenly for Leonardo DiCaprio and myself to open the festival. With the entire world film fraternity at Cannes, applauding and welcoming our presence, treating us like royalty ... It's emotional.
"Truly a historic moment for me, but immensely historic and honorable for the Indian Film Industry, a fraternity that I am and shall always be most proud of," Bachchan posted.
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The actor said he is now waiting for his daughter-in-law Aishwarya Rai Bachchan to arrive with his granddaughter.
This year four Indian films have been selected in different non-competition categories. 'Bombay Talkies', an anthology film by four directors - Kashyap, Dibakar Banerjee, Zoya Akhtar and Karan Johar - will have a gala screening.
Kashyap will also be screening his 'Ugly' in festival's Directors' Fortnight sidebar where he earlier showcased his two-part revenge drama 'Gangs of Wasseypur'.
'Dabba' (Lunchbox) and 'Monsoon Shootout', co-produced by Kashyap, have been selected for Cannes Critics Week and Midnight Screening sections respectively.