First round The first match was between Sidney Smith and
Sydney Lee from 23 to 25 January. Smith had a 4–1 lead after the first , and 6–4 at the end of the first day. The next day, Smith claimed four of the five frames in the afternoon session so was 10–5 ahead. After the fourth session, his advantage was 13–7 and, by winning the first three frames on the final day, he achieved decisive 16–7 lead. The final score after was 21–10. From 26 to 28 January, qualifier
Walter Donaldson played
Claude Falkiner. Falkiner took three of the five frames in the first session, and Donaldson won three frames from five in the evening, leaving the score was level at 5–5 after the first day. Donaldson won four of the five frames in both of the sessions on the second day to lead 13–7. On the final day Donaldson took a 16–8 winning lead and ended 21–10 ahead. Falkiner had been runner-up in the
professional billiards championship in 1920 and 1922. Playing Donaldson was his first competitive
cue sports match in several years, and his first participation in the World Snooker Championship. The correspondent for
The Times, whilst describing Donaldson as "a player of considerable skill", felt that Falkiner's lack of recent match experience contributed to his defeat.
Fred Davis and
Conrad Stanbury met in the last first round match, which started on 2 February. Davis won the first six frames and led 13–7 at the start of the final day, 4 February. Davis took a winning 16–9 lead and eventually won 19–12 after dead frames.
Quarter-finals Daily Mail Gold Cup winner Alec Brown met
Horace Lindrum in the first quarter-final, from 6 to 8 February. He had beaten Lindrum 46–25 in the Gold Cup tournament, but had received a 21-point start in each frame. Brown took a 6–4 lead, winning each of the first two sessions 3–2. On the second day, Brown compiled a break of 83, his highest-ever in competitive play, in the 13th frame. He led 10–5 at the close of the session, and 13–7 at the end of the day. Brown added the last frame on the final afternoon to secure a win at 16–9. Lindrum won five of the evening frames to give a final score of 17–14. From 9 to 11 February, Sidney Smith played Donaldson in the second quarter-final. By taking three frames in each of the first two sessions, Smith established a 6–4 lead, extending this to 9–6 after winning the third session, again by a single frame. In the fourth session, Donaldson then won three frames in a row to equalise at 9–9, and added a fourth successive frame to lead 10–9. Smith took the last frame of the session and the second day concluded with the pair level at 10–10. Donaldson led 13–12, after the fifth session. In the concluding session, after Smith won the 26th frame to draw level, Donaldson moved a frame ahead again at 14–13. Smith made a 77 break in the 28th frame to make it 14–14, then added the next frame. Donaldson equalised at 15–15. In the , Smith led 43–34 with one left and, taking the red and then a and the to the , won the frame 69–34 and the match 16–15. The next match was between Fred Davis and Newman, and was played from 13 to 15 February. Davis had won the first six frames in his opening match and on this occasion he won the first seven frames. From 8–2 up after the first two sessions, Davis won the first six frames on the second day to lead 14–2 then led 15–5 overnight, just one frame from victory. Davis won the second frame on the final day to secure victory at 16–6. The final score was 21–10 after dead frames. A match report in
The Times referred to Davis as "a sound and steady rather than a brilliant player". Joe Davis played his first match of the 1939 Championship in the last quarter-final, against
Willie Smith, from 16 to 18 February. Davis took a 6–4 lead on the first day after taking three frames from five in both sessions. Smith then won the first four frames of the second day to lead 8–6, but Davis claimed the final six frames for a 12–8 overnight advantage and, by winning the first four frames of the final day, secured a decisive 16–8 lead. During the dead frames, Davis extended his run to 11 frames before Smith won four of the six evening frames to give a final score of 19–12.
Semi-finals The first semi-final was between Sidney Smith and Brown, from 20 to 22 February. Brown took a 5–1 lead and led 6–4 overnight. Smith then won the first seven frames on the second day to take an 11–6 lead; the second day ended with the score at 12–8. Smith continued to dominate on the final day winning the match 16–9 by winning the last frame of the afternoon session. The final score was 20–11. From 23 to 25 February, brothers Joe and Fred Davis played each other in the second semi-final. Fred won the first three frames, and led 3–2 after the first session, but Joe led 6–4 overnight. Fred regained the lead on the second afternoon but Joe took four of the evening frames and finished the day 11–9 ahead. Joe won the first frame on the second day but Fred then made a 113 clearance in the 22nd frame. Fred's break, a new record for the World Championship, included 12 reds, 6 , 3 pinks, 2 blues, a and then all the colours. Fred won the next frame but Joe then took the following four frames and achieved victory at 16–11. The final score after dead frame was 17–14.
Final Joe Davis met Sidney Smith in the final for the second successive year. He extended the lead to 15–9 and 20–10 before Smith won all six frames on the third evening to reduce Davis's lead to 20–16. The fourth afternoon session was shared but Davis won five frames in the evening to lead 28–20. Davis made breaks of 73, 64, 69 and 95 in the first seven frames on the fifth day, and ended the day 35–25 ahead, two frames from victory. Davis took the first two frames on the final day to win the match 37–25. The remaining 11 frames were played leaving a final score of 43–30. Davis was presented with the championship trophy by author
Compton Mackenzie. It was the thirteenth consecutive world championship won by Davis, a feat that the
Birmingham Post's correspondent wrote "proved again .. that he has no equal as a snooker player". Snooker historian
Clive Everton called Davis's semi-final win over his brother "the strongest challenge [Joe Davis] had yet encountered" in the history of the tournament". ==Main draw==