Despite falling behind early on to a Jamie Humphries strike, Dixie Dean's side equalised through Adam Kendirci's 24th minute goal.
Adjani Tayo then gave Lingfield the lead just before half time, but Tyrone Guthrie levelled things up four minutes after the restart.
And Humphries netted twice more in the second half to complete his hat-trick and seal victory for Beckenham Town.
Lingfield remain third from bottom in the Southern Counties East League.
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