The adjournment follows recent attacks on the leadership of the Senate.
Senate President Bukola Saraki made the announcement on Tuesday.
The adjournment is part of the prayers of a motion on the siege on Mr Saraki and his deputy, Ike Ekweremadu.
The lawmakers are to reconvene on September 25.
First, the senators are to go on a 30 minutes break to enable them adopt the votes and proceedings if the day.