Osborne, who served as a Dean for the past 13 years, is now the 72nd Bishop of Llandaff, responsible for a diocese which serves most of Cardiff, the South Wales Valleys and the Vale of Glamorgan.
Welcoming her appointment, the Church's Senior Bishop, the Bishop of Swansea and Brecon, John Davies, said: "In June Osborne, both the Church in Wales and the Diocese of Llandaff will find themselves to be richly blessed.
"June's track record admirably demonstrates her passion for Christian ministry modelled on the Gospel imperatives of love, justice, inclusivity and openness.
"She is known as a leader with clear vision, a pastoral heart and a strategic mind, all of which commend the Church to the wider community."
Osborne was the first female Dean to be appointed to a medieval cathedral, having previously served as Salisbury Cathedral's Canon Treasurer for nearly ten years.
She has been active in the national life of the Church of England, serving for many years on General Synod's Standing Committee, including sitting on the panel of chairmen. She has also chaired the Salisbury Diocesan Advisory Committee.
The announcement was made today in the Llandaff church and Osborne, though sad to be saying goodbye to Salisbury, said that her nomination was 'a very great privilege'.
"Leading a diocese that is so diverse, in an area that is both historic and beautiful, will be challenging but I have an enormous appetite for the task and am deeply honoured to have the opportunity to join a diocesan team, which is strong and imaginative.
"These are turbulent times across the world and the need for faith and for the confident, distinctive leadership of the Church has never been more important."
The Bishop of Salisbury, Nicholas Holtam, described June as an 'outstanding Dean'.
He said: "She has made significant contributions to the wider Church of England including helping to organise the Leading Women group which has been massively influential in growing women into positions of leadership in the Church.
"I am delighted she has been appointed Bishop of Llandaff.
"The whole of the Diocese of Salisbury will join me in giving thanks for the enormous contribution she has made to this Diocese where she has served for 22 years. We wish her well as Bishop of Llandaff and pray for her and her family as they prepare for all that lies ahead."
Osborne will celebrate her final Sunday at Salisbury Cathedral on 9th July and will be consecrated as Bishop in Brecon Cathedral on 15th July. She will be enthroned the following week at Llandaff Cathedral on 22nd July.
