Rev Dr Emma Ineson was appointed by Rt Rev James Newcome, Bishop of Carlisle after consultation with a diocesan group.
Reacting to her appointment, Ineson said: "I am delighted to have been appointed as the Suffragan Bishop of Penrith. I have been so impressed by what I have seen of the creative and innovative approach to building community and reaching every person across the Diocese with the love of Christ, exemplified by the recent 'Moving Mountains' mission.
"Jesus prayed that his disciples would be 'one' and as the first ecumenical Diocese, Carlisle is truly living out what that means in practice. The 'God for All' strategy aims to see every person in Cumbria discovering more of God and becoming followers of Jesus in Christian communities.
"This would be my prayer also, and I so look forward to working with Bishop James, and joining in with the churches of this beautiful and varied region, to see this increasingly become a reality."
She will be based in Kendal and will have particular responsibility for the county's God for All strategy; that everyone in Cumbria has the opportunity to know more about God and God's purpose in their lives.
Ineson, 48, has been a member of the General Synod of the Church of England since 2010, as well as the Faith and Order Commission, the Implementation and Dialogue Group on the Five Guiding Principles, the Lambeth Conference 2020 Design Group and the Church of England Evangelical Council.
She is also an Honorary Chaplain to Her Majesty the Queen.
Ineson succeeds the Rt Rev Robert Freeman who retired in April and will be consecrated on 27th February, 2019.
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