Cris Carter held the previous mark of 58. Wayne now has had at least two catches in 59 straight games.
Wayne tied the mark last week at New England, and broke it in front of his home crowd late in the first half against Buffalo.
The Pro Bowl receiver also passed former Redskins receiver Art Monk for 12th on the NFL's all-time receptions list during the first half of Sunday's game. Monk finished his career with 940. Wayne now has 943, and Wayne played a key role in a late first-half drive that ended with a 19-yard field goal from Adam Vinatieri as time expired.
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