Peers accepted the General Synod proposal, passed by the Synod in July, without a vote.
It is expected to be approved by MPs next week, allowing it to become law.
Speaking in the Lords, the archbishop urged the government to bring in legislation to allow women bishops to join him in the upper house.
Under the current system, the places are reserved for the archbishops of Canterbury and York, and the bishops Durham, London and Winchester.
The other 21 go to the remaining bishops who have served the longest time in office. [More]