Brunson, who is averaging career-highs in points (21.9) and assists (6.4) since signing with the Knicks in the offseason, was once again his side's best player.
He scored a team-high 34 points on 12-of-24 shooting with eight rebounds and eight assists, continuing the red-hot form that has seen him average 33.2 points, 5.6 assists and 5.2 rebounds on 52 per cent shooting since the new year began.
Another player in scintillating form since the start of January is Knicks forward Julius Randle, and he is now averaging 24.8 points and 14.4 rebounds this month after putting up 23 points (eight-of-19 shooting) and 16 rebounds.
The Knicks overcame a terrific performance from Wizards wing Kyle Kuzma, who scored a season-high 40 points on 14-of-27 shooting with seven rebounds and seven assists.
New York are now 24-19, and sit sixth in the Eastern Conference.
No Jokic, no problem for the Nuggets
The Denver Nuggets showed they can survive without reigning back-to-back MVP Nikola Jokic as they defeated the Los Angeles Clippers 115-103.
Murray scored a team-high 24 points on eight-of-17 shooting with eight rebounds and four assists, while Porter had 22 points (nine-of-17) with four rebounds and three assists.
Hawks bigs deliver the win
Third-year center Onyeka Okongwu was tremendous with 18 points (nine-of-12 shooting), a career-high 20 rebounds, four assists, four blocks and two steals.
His interior partner, John Collins, was less impactful for the first three quarters, and while he only finished with seven points, he scored the game-winning tip-in with less than a second remaining on the clock.