De Boer has been linked with the vacant Anfield job following Kenny Dalglish's sacking last week after a disappointing season culminated in the Reds' worst league finish for 18 years.
But the 42-year-old Dutchman, who has guided Ajax to back-to-back Eredivisie titles, says he still has unfinished business in Amsterdam after taking over as coach in 2010.
"I am honoured by the request, but I am only just getting started with Ajax," De Boer told De Telegraaf.
"In Amsterdam we are on a new path and, along with the club and Wim Jonk and Dennis Bergkamp, my colleagues in the technical heart, I want to bring good things.
"That's why I will stay loyal to Ajax in the coming years."
De Boer's snub comes after Swansea manager Brendan Rodgers also turned down an approach from Liverpool last week.
The Reds are thought to have several other candidates on their radar, including former Chelsea boss Andre Villas-Boas and Wigan manager Roberto Martinez.
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