The world number 69 broke defending champion Andujar's serve twice in the first set and then claimed the sixth game of the second to coast to victory and add to his 2015 Swedish Open title.
Andujar was hoping for a record fourth victory at the event after lifting the trophy in 2011, 2012 and 2018, but managed just a single break point in the contest, which he failed to convert, and slipped to a fourth successive defeat to the Frenchman.
ATP Tel Aviv
Djokovic into Tel Aviv quarters after victory featuring 'longest game' of his career
Paire, 29, who has a career-high ranking of 18 in singles, beat compatriot and wildcard entry Jo-Wilfried Tsonga in the semi-finals on Saturday.
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US Open men
Norrie powers past Paire in straight sets including two bagels
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