Cristiano Ronaldo broke Jimmy Greaves’ 46-year European scoring record as Real Madrid moved within a point of their first Spanish title since 2012.
Ronaldo, 31, fired Madrid ahead with his 367th goal in one of Europe’s top-five leagues, eclipsing the mark set by former England striker Greaves in 1971.
Ronaldo slotted in a second and, after John Guidetti gave 10-man Celta hope, Karim Benzema and Toni Kroos sealed it.
Real will clinch La Liga with a draw at mid-table Malaga on Sunday.
Rivals Barcelona must win their final game at home to Eibar and hope Zinedine Zidane’s side lose.
If the teams finish level on points then defending champions Barca will claim a third-straight title because of their superior head-to-head record.
Real Madrid 4-1 Celta Vigo