In their statement, the religious leaders urged the public not to hit out at members of the Asian community following the attacks.
"We wish to voice our concern that the public reaction to such acts is not mis-directed against others by association of race or religious belief, and in particular against the Asian community," they asserted.
"As religious leaders, we affirm our view that any act of terrorism carried out in the name of religion is a gross perversion of the purpose of faith and is not supported by either the tenets of any of the faiths in Scotland nor by the vast majority of the followers of each faith."
The statement continued: "We hope that all of the people of Scotland will respond to this attack by reaching out and strengthening further the bonds of friendship which tie our communities together into one Scottish community and thus demonstrate the futility of violence.
"We therefore condemn any acts which target or taint members of a faith community and support the security services in protecting the public and enforcing the law."
One suspect arrested over the Glasgow Airport attack, Bilal Abdullah of Iraq, is being held at the Royal Alexandra hospital where he was formerly employed as a locum.
Detectives are still trying to trace the movements of the jeep he and one other drove into the airport's main terminal doors while loaded with gas cylinders.
Church leaders expressed the need for solidarity between Scotland's different faith groups in light of the attacks. The Most Rev Keith Patrick O'Brien, Cardinal and Archbishop of St Andrews and Edinburgh and spiritual head of the Roman Catholic Church in Scotland said: "Like almost all Christians, I have the most friendly relationships with members of the other great world faiths, including those of the Muslim faith.
"Nothing must be allowed to destroy that friendship or the mutual respect we have for each other, even in times of crisis."
The Rt Rev Sheilagh Kesting, Moderator of the General Assembly of the Church of Scotland, said: "It is so important that as leaders of the different faiths we are able to stand together in the face of such atrocities and to condemn utterly any backlash there might be on the Asian community in our country."
Allan Forsyth, Chair of the Baha'i Council for Scotland, added: "We are confident that this terrible attack on Glasgow Airport will not impact, at all, on the close relations between faith communities in Scotland and will only serve to strengthen it.
The joint statement has been endorsed by the following Religious Leaders of Scotland:
Imam Arif, Central Scotland Islamic Centre, Stirling.
Mr. Allan Forsyth, Baha'i Council for Scotland.
The Most Rev. Dr. Idris Jones, Primus, Bishop of Glasgow and Galloway. (Scottish Episcopal Church).
Rt Rev Sheilagh Kesting, Moderator of the General Assembly of the Church of Scotland
Acharyajee Mishra, Hindu Mandir.
The Most Rev.Keith Patrick O'Brien, Cardinal and Archbishop of St Andrews and Edinburgh (Catholic Church).
Imam Habib ur Rahman, Glasgow Central Mosque.
The Venerable Rewatha, Sri Lankan Buddhist Centre.
Rabbi Moshe Rubin, Giffnock Synagogue.
Imam Mustaqeem Shah, UK Islamic Mission, Glasgow.
Mr. Bakhshish Deerhe Singh, Glasgow Gurdwara Council.
Rev Favian Straughan, Order of Buddhist Contemplatives in Scotland.
