The Lucena position is the most important winning position in rook and pawn vs rook: the pawn has reached the 7th rank, your king stands on the promotion square, and the enemy king is cut off to one side. If you know how to "build a bridge", this position is always a win. Rook endgames are the most common endgames in real games, so once you know this one, you can bring home those extra-pawn rook endings when you play free online chess.
The key position
White's problem: as soon as the king steps out, the black rook starts checking from behind and from the side, and the king has nowhere to hide. The answer is to block the checks with your own rook.
How to win
Step 1: push the enemy king one more file away
Step 2: rook to the 4th rank, ready to build the bridge
Step 3: the king comes out and the rook blocks the checks
The "bridge" is the rook moving from d4 to b4: it blocks the checks on the b-file and shields the king. Why the 4th rank? Because when the king reaches the 5th rank, the rook can step in right underneath it.
Common mistakes
The most common mistake is to keep running away from the checks with the king and forget to block with the rook:
Also remember: while the black king is on d7, it covers c7 and c8, so the white king can't even get out. That's why the first move has to be a rook check that drives the black king away.
Practice puzzles
Show answer
1. Rd4 For example Rd4: the rook goes to the 4th rank, so it can block the checks once the king comes out. The tablebase says a few other moves like Rd5 and Rd3 also win, but the 4th rank is the standard square and the easiest to remember.
Show answer
1. Rb4 Rb4 builds the bridge: the rook blocks the b-file, the black rook can't check anymore, and the pawn promotes. Stepping aside with Kc5 or Ka5 is a draw according to the tablebase.
FAQ
Why is it called the Lucena position?
It is named after Luis Lucena, a Spaniard who wrote a chess book in the late 15th century. His book doesn't actually contain this position, but the name stuck.
Does the pawn have to be on the 7th rank?
The Lucena position means the pawn is on the 7th rank with its king in front on the promotion square. When the pawn is further back, you first try to reach this position. If the defender sets up the Philidor position in time, it is often a draw.
Does this work with a rook pawn (a- or h-pawn)?
Not always. With a rook pawn the king can only come out on one side, there is too little room, and the bridge often doesn't work. Many of those positions are draws.
What if the enemy king isn't cut off?
If the enemy king is standing right in front of the pawn, it isn't a Lucena position anymore, and it is usually a draw. That's why cutting off the enemy king with your rook is so important in rook endgames.
Try it yourself
Now that you can build a bridge, go back to chess endgames and see how the defender holds the draw with the Philidor position. The two are easiest to remember together. Or play chess online against the computer, trade down to rook and pawn vs rook, and build a bridge yourself.