Under the rule, players who approach a referee to discuss a decision will be given yellow cards.
The German FA said the rule would be adopted in both men's and women's football from the professional level through to local leagues.
The rule, designed to promote more respect for referees and clearer interactions with match officials, was implemented in all UEFA club competitions early in July.
Several yellow cards were handed out for non-captains approaching referees at Euro 2024. A total of 161 yellows were handed out in the group stages alone. At Euro 2020, the total for the entire tournament was 151.
Ansgar Schwenken, the Director of Match Operations and Fans at the Bundesliga, said the rule was "the logical step for more fairness and respect."
