With the win, Dukurs also topped the Skeleton World Cup standings.
Germany's Christopher Grotheer finished the stage in overall second place, while Austria's Samuel Maier took the bronze.
Meanwhile, Martins' brother Tomass Dukurs finished the stage in 7th place.
This was the 12th European Championship victory for M.Dukurs in his career, as well as 11th Skeleton World Cup triumph.