Bernie Sanders had pressed for the party chairwoman to step down.
Mrs Clinton is to be officially nominated at the Philadelphia meeting.
The Vermont senator had said Ms Wasserman Schultz "should not be chair"
of the Democratic National Committee.
"And I think these emails reiterate that reason why she should not be
chair," he told ABC’s This Week programme.
In a statement, Ms Wasserman Schultz said she would "step down as party
chair at the end of this convention."
"We have planned a great and unified convention this week and I hope and
expect that the DNC team that has worked so hard to get us to this point
will have the strong support of all Democrats in making sure this is the
best convention we have ever had," she said.