Real Madrid grabbed a goal in each half to keep up the pressure at the top of La Liga and are one point behind Barcelona with all to play for.
Higuaín opened the scoring and Cristiano Ronaldo added the second with just twelve minutes of the match remaining to make the final scoreline Real Madrid 2-0 Valencia.
Down at the other end, the Blue and Whites played out a 0-0 draw with fellow strugglers Valladolid which leaves them just one point above the bottom three, the drop zone. Perilously close.