The Lucena position is the most important winning position in rook endgames. One side has a rook and a pawn on the 7th rank, its king stands on the queening square in front of the pawn, and the defending king is cut off from the pawn by at least one file. The winning method is called building a bridge: you put your rook on the 4th rank, walk your king out, and use the rook to block the enemy rook's checks. With any pawn except a rook pawn, this is a forced win.
The Lucena position, step by step
This is a constructed textbook setup. White's king is stuck on d8 in front of its own pawn. White's rook on e1 cuts Black's king off on the f-file, and Black's rook on c2 stops the white king from stepping out to the c-file.
3K4/3P1k2/8/8/8/8/2r5/4R3 w - - 0 1
Open the Lucena position in the analysis board → · Play it against the computer →
White has 14 legal moves here, and Stockfish 17.1 rates the position +6.39 at depth 30. The engine runs without endgame tablebases, so it shows a large plus score rather than a mate count from the start, but the mate scores appear a few moves later. The problem is simple: if the king walks out, it gets checked, and it has nowhere to hide. The bridge solves that.
Step 1: Check the enemy king one file further away
1.Rf1+ pushes Black's king off the f-file. Black has five legal moves, and every one loses. Stockfish at depth 30 rates the best reply, 1...Kg7, at about +12.7 (scores are shown from White's side, so White is completely winning), and finds forced mates after the other king moves (mate in 22 after 1...Kg6, mate in 18 after 1...Ke6, mate in 15 after 1...Kg8, mate in 7 after 1...Rf2). Now the king is two files from the e-file, so it cannot reach e7 or e8 when White's king steps out.
Step 2: Build the bridge on the 4th rank
2.Rf4! is the key move. The rook goes to the 4th rank, where it will later block a check on the d-file. Stockfish at depth 30 now finds a forced mate in 20 for White (Black to move, 19 legal moves).
3K4/3P2k1/8/8/5R2/8/2r5/8 b - - 3 2
Open the position after 2.Rf4 →
Step 3: Walk the king out and toward the rook
If Black waits with 2...Rc1, White plays 3.Ke7. Black checks: 3...Re1+ (White has only three legal replies) 4.Kd6 Rd1+ 5.Ke6 Re1+ 6.Kd5 Rd1+. The king zigzags down the board toward its own rook.
Step 4: Block the check
7.Rd4! The rook interposes on d4, the bridge is complete, and Black has run out of checks. The pawn queens next move. Stockfish at depth 30 shows mate in 10 for White from here.
8/3P2k1/8/3K4/3R4/8/8/3r4 b - - 13 7
Why the 4th rank? The rook must be far enough from the enemy king that it is not attacked when it blocks, and the white king must be able to reach the 5th rank to shelter next to it. The 4th rank gives the king exactly enough room: it reaches d5 next to the rook just as the checks run out.
Does the Lucena work on every file?
We built the same setup on each file and asked Stockfish 17.1 for its score at depth 30, White to move. In every position the attacking king is on the queening square, the pawn is on the 7th, the attacking rook cuts the defending king off by one file, and the defending rook guards the file on the other side of the king (for the rook pawn, it sits on h2). Files e to h are mirror images of d to a, so they give the same results.
| Pawn | Starting FEN | Score | Result |
|---|---|---|---|
| Rook pawn (a) | K7/P1k5/8/8/8/8/7r/1R6 w - - 0 1 | 0.00 | Draw |
| Knight pawn (b) | 1K6/1P1k4/8/8/8/8/r7/2R5 w - - 0 1 | +8.29 | Win |
| Bishop pawn (c) | 2K5/2P1k3/8/8/8/8/1r6/3R4 w - - 0 1 | +16.38 | Win |
| Centre pawn (d) | 3K4/3P1k2/8/8/8/8/2r5/4R3 w - - 0 1 | +6.39 | Win |
Method: each FEN was checked as legal with chess.js and analysed by Stockfish 17.1 (the lite single-thread build) to depth 30, with no tablebases. These are engine scores, not tablebase proofs, but they match endgame theory: the bridge wins with every pawn except the rook pawn.
The rook pawn fails because the king on a8 has only one side to come out on, and the defending king on c7 controls b8 and b7. White's king can never leave the corner.
Lucena vs Philidor
The two positions are the pillars of rook endgames, and they are opposite sides of the same coin.
| Lucena position | Philidor position | |
|---|---|---|
| Result | Win for the side with the pawn | Draw for the defender |
| Pawn | On the 7th rank | On the 5th rank or behind |
| Defending king | Cut off from the pawn | On the queening square |
| Key technique | Build a bridge on the 4th rank | Rook on the 3rd rank, then checks from behind |
The practical lesson: as the defender, get your king in front of the pawn and use the Philidor position. As the attacker, cut the defending king off and aim for the Lucena.
How to win a Lucena position in your games
- Check the king away. If the defending king is only one file from the pawn, give a rook check to push it a second file away.
- Put your rook on the 4th rank. It must be on the same side as the defending king, ready to block on the pawn's file.
- Walk your king out and down. Zigzag toward your rook, stepping onto the 5th rank next to it.
- Block the last check. Interpose the rook on the 4th rank, and the pawn queens.
And the defensive view: once the pawn reaches the 7th with your king cut off, the game is lost unless it is a rook pawn. Fight earlier, before the cut-off, with your king in front of the pawn.
Practice: Rook endgame
All 44 rook endgame puzzles →Frequently asked questions
What is the Lucena position?
A rook and pawn against rook endgame where the attacking king is on the queening square, the pawn is on the 7th rank and the defending king is cut off by at least one file. It is a forced win for the side with the pawn, except with a rook pawn.
How do you build a bridge?
Check the defending king one file further away, put your rook on the 4th rank, walk your king out with zigzag moves toward the rook, and when the rook checks again on the pawn's file, block with your rook on the 4th rank. The checks end and the pawn queens.
Is the Lucena always a win?
No. With a rook pawn it is a draw when the defending king controls the corner exit, as the table above shows (0.00 at depth 30). With any other pawn it is a win, as long as the defending king is truly cut off and the defending rook cannot immediately win the pawn.
Ready to practise? The puzzle trainer has 44 rook endgame puzzles, and you can play the bridge out against Stockfish on the analysis board. For the defending side, read the Philidor position; to sharpen the king moves that rook endings depend on, see opposition and the king and pawn endgame, then test yourself in endgame practice.