Mr Justice Paul McDermott said he was refusing both applications from the objectors and that his reasons are set out in written judgments.
When the project was announced, Apple said it meant to spend €1.7 billion (£1.5 billion) on a data centre in Ireland and another in Denmark, with each one costing €850 million (£762 million).
A spokesperson for Apple said that the company is not commenting on the judgment at this time.
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Another woman picks up his bag. "It takes a lot of risk, trying to stand up to racists and bigots". "Get off, get off, get off. However, according to other reports, this wasn't Lawson's first involvement in such an incident.
Seán Kyne, Ireland's minister for community development, natural resources, and digital development, said it was "very positive news for Galway and the West of Ireland".
The decision does not end the process, however.
A number of local residents challenged An Bord Pleanála's decision amid concerns it hadn't carried out the necessary environmental assessment although the majority of Athenry residents are in favour the development and say it will secure the town's future.
Apple wants to use the data centre to store European user data and to help power online services, including the iTunes Store, the App Store, iMessage, Maps, and Siri for customers across Europe.
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However, the with August's industrial production at 4.3%, it is inching towards 4.5% growth in July past year . The Index of Industrial Production (IIP) had registered a tepid growth of 1.2 per cent in July this year.
Apple first announced the data centre in February 2015. They alleged the facility would have a negative impact on people living around the site, and also on the fauna and flora at the Derrydonnell Woods, around Athenry, east of Galway, where the data centre is to be built.
Galway County Council granted permission in Sept 2015 but that was appealed to An Bord Pleanála.
The case will return to the courts on Monday, where it will be decided whether or not a further appeal can be made against Apple.
Ireland's worldwide business reputation has been damaged by delays to the Apple data centre in Athenry, according to IBEC. This prompted 2,000 local people from Athenry to march in support of the data centre a year ago. A decision was expected to be made in July, but was delayed until October thanks to a lack of High Court judges.
United Kingdom probe into Fox-Sky deal to assess Murdoch influence
Meanwhile the takeover of Sky is being held up by a United Kingdom investigation into the proposed deal worth £11.7 billion. On a constant currency basis, Sky reported a 5% year-on-year increase in revenues at £3.3 billion (US$4.4 billion).