Two flights a week will go direct to the north Indian city from early 2018.
The airline already operates a daily service from Birmingham to Delhi and the latest Amritsar route will be flown by one of its Boeing 787 Dreamliner planes.
Amritsar is the home of the Golden Temple (pictured above), founded in 1577 by Ram Das, an important place in Sikh history.
William Pearson, aviation director at Birmingham Airport, said: "It is great news that we will have non-stop connections to two Indian cities.
"With more than 200,000 British-Indian people who travel to India to visit friends and relatives, and for tourism and business interests, this additional destination shows the large demand within the region for non-stop Amritsar services from the Midlands."
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