The Bishops and Priests (Consecration and Ordination of Women) Measure passed through the General Synod in July by the required two-thirds majority.
Archbishop Welby told peers: "Over the past 20 years, many women have given outstanding leadership as vicars, archdeacons and cathedral deans.
"Now, for the first time, every post will be open to them. For many people within the Church of England and others it has been a process full of frustration when looked at from the outside."
Calling for legislation before the general election, he said the bishops benches in the Lords would eventually include women "but that could take some time if the normal seniority system were simply left to take its course". ...