Israeli media reported that the deal worth approximately USD 15.3 billion was the largest ever cross-border acquisition for an Israeli tech firm.
It comes with Intel and Mobileye previously collaborating with German automaker BMW to develop self-driving cars.
Intel and Mobileye said they expected to combine to become a global leader in "autonomous driving" that could provide the technology at a lower cost.
"The combination is expected to accelerate innovation for the automotive industry and position Intel as a leading technology provider in the fast-growing market for highly and fully autonomous vehicles," it said.
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Last year, BMW announced that it was joining forces with Mobileye and Intel on a self-drive project for "highly and fully automated driving" to be commercially available by 2021, called the BMW iNext.
BMW announced in January it would deploy 40 self-driving vehicles for tests in the United States and Europe this year.
In August, Mobileye and UK-based auto-equipment maker Delphi said they were teaming up to develop an autonomous driving system which would be ready for vehicle-makers in 2019.
Nearly all the major global automakers are involved in testing autonomous or semi-autonomous vehicles, with some expecting full autonomy within a few years.
The Israeli firm was founded in 1999 and employs some 660 people. It has developed real-time camera systems used to avoid accidents with the help of algorithms that interpret the data.
Its proprietary EyeQ5 computer vision processor gets input from the 360-degree surround view sensors as well as localisation.
Drivers may be familiar with its system that warns when they are approaching too closely to another vehicle or pedestrian.
Mobileye co-founder Ziv Aviram said of the acquisition that "together, we will provide an attractive value proposition for the automotive industry".
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