Durant, the NBA's second-leading scorer this season, passed Allen Iverson's 2000-01 streak of 27 straight 25-point-plus performances and now is eyeing Michael Jordan's all-time record of 40 consecutive such games, a mark set in 1986-87.
Russell Westbrook notched a triple-double with 22 points, 14 assists and 10 rebounds in Oklahoma's ninth consecutive win, while Jeff Green added 17 points and 14 rebounds.
Minnesota, which fell to 9-20 at home, got 19 points and 14 boards from Kevin Love off the bench, while Jonny Flynn contributed 19 points and Damien Wilkins and Corey Brewer added 18 each.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys