Round 2The first legs were played on 5–6 October and the second legs were played on 12–13 October 2019. Some teams agreed to play both matches in the same venue.
Round 3A total of 32 teams entered the draw for the third qualification round, which was held on Tuesday, 15 October 2019. The draw seeding pots were composed as follows:
| Pot 1 | Pot 2 |
Group stageThe draw of the EHF Cup group stage will take place on Thursday, 28 November 2019. The 16 teams allocated into four pots will be drawn into four groups of four teams. In each group, teams play against each other home-and-away in a round-robin format. The matchdays are 8–9 February, 15–16 February, 22–23 February, 29 February–1 March, 21–22 March and 28–29 March 2020. On 25 March 2020, the EHF announced that no matches will be played before June due to the coronavirus pandemic. In the group stage, teams are ranked according to points. After completion of the group stage, if two or more teams have scored the same number of points, the ranking will be determined as follows:
- Highest number of points in matches between the teams directly involved;
- Superior goal difference in matches between the teams directly involved;
- Highest number of goals scored in matches between the teams directly involved ;
- Superior goal difference in all matches of the group;
- Highest number of plus goals in all matches of the group;
If the ranking of one of these teams is determined, the above criteria are consecutively followed until the ranking of all teams is determined. If no ranking can be determined, a decision shall be obtained by EHF through drawing of lots. During the group stage, only criteria 4–5 apply to determine the provisional ranking of teams.
Ranking of the second-placed teamsThe top three second-placed teams will qualify to the quarter-finals. The ranking of the second-placed teams will be determined on the basis of the team's results in the group stage.
Knockout stageQuarter-finalsThe draw for the quarter-final pairings was scheduled to be held on Tuesday, 31 March, in the EHF headquarters in Vienna, but due to the postponed matches of the group stage, EHF will announce any further updates accordingly. On 24 April 2020 the matches were cancelled.
Final fourThe eighth edition of the EHF Cup Finals in 2020 will be hosted by Füchse Berlin after the EHF Executive Committee decided to award the hosting rights to the German club at its meeting on 22 November 2019. The tournament was scheduled to take place at Max-Schmeling-Halle in Berlin, on 23 and 24 May 2020, but was rescheduled to 29 and 30 August 2020. On 24 April 2020 EHF announced that in agreement with the organizers, Füchse Berlin, the MEN’S EHF Cup Finals scheduled for 29 and 30 August are cancelled. The tournament will not be carried out.
Bracket
Semifinals----
Final
Top goalscorers| Rank | Player | Club | Goals | | 1 | 
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