FA Cup replays will end from next season.
All rounds of the Emirates FA Cup will also be played on weekends, including the fifth round which has been played in midweek for the last five seasons.
The changes are part of a new six-year agreement between the FA and the Premier League.
"The FA Cup is our biggest asset," said FA chief executive Mark Bullingham.
"This new agreement between the FA and the Premier League strengthens the FA Cup and gives this very special tournament exclusive weekends in an increasingly busy calendar.
"We have also agreed new funding for the grassroots game, disability football and the women's and girls' game.
"All football begins at the grassroots, and this is recognised by the Premier League with very welcome additional financial support."
