Shares in Essilor, the world leader in corrective lenses, surged by nearly 14 per cent on the Paris stock exchange and Luxottica shares were up 7.6 per cent in Milan on the news.
The combined group will have market capitalisation of around 46.2 billion euros (USD 49 billion), based on both companies' closing share prices on Friday.
Under the terms of the transaction, the family of Leonard Del Vecchio, Luxottica founder and chief executive, will hand over his stake to Essilor, which will then launch a public bid to buy the remaining shares.
"Finally, two products which are naturally complementary, namely frames and lenses, will be designed, manufactured and distributed under the same roof," Del Vecchio said.
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"With this agreement my dream to create a major global player in the eyewear industry, fully integrated and excellent in all its parts, comes finally true."
The combined group, to be known as EssilorLuxottica, will have annual sales of more than 15 billion euros and employ a workforce of 140,000 worldwide.
Brian, Garnier & Co analysts called the merger "a perfect fit... As both groups are leading their respective categories" of lenses and frames.
Del Vecchio will become chief executive of the new group and Essilor head Hubert Sagnieres his deputy, with "the same powers", a joint statement said.
The boards of directors of both companies have approved the transaction.
The deal still needs to receive the necessary regulatory approval, but is expected to be completed in the second half of this year.
Del Vecchio returned to the helm in January 2016 after two years of management turmoil sparked by a falling out with his right-hand man Andrea Guerra, who quit in 2014.
"The idea... Has been around a long time, and though not on everyone's mind recently, and is now bearing fruit," he added.
In addition to Ray-Ban, Luxottica owns the Oakley and Sunglass Hut brands and generates annual sales of around nine billion euros. Essilor booked sales of just over 6.7 billion euros in 2015.
Essilor's Sagnieres said: "Our project has one simple motivation: to better respond to the needs of an immense global population in vision correction and vision protection."
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