According to The Ministry of Justice it receives around 25 applications a week asking to remove buried remains.
But senior church officials are warning this practice is not compatible with Christian beliefs.
They have suggested the relocation of remains for convenience is almost "becoming a fashion".
The Burial Act 1857 states that remains can be exhumed only on the authority of the Justice Secretary or the Church of England if the body is resting in consecrated ground.
The Church is now suggesting that permission should be granted only in exceptional circumstances.
A spokesperson said: "The permanent burial of the physical body, or the burial of cremated remains, should be seen as a symbol of our entrusting the person to God for resurrection.
"This commending, entrusting, resting in peace does not sit easily with 'portable remains', which suggests the opposite, a holding on to the 'symbol' of human life, rather than giving back to God," they said in The Daily Telegraph.
They added: "We are commending the person to God, saying farewell to them, entrusting them in peace for their ultimate destination, the heavenly Jerusalem."
Diocesan chancellors who make up the Ecclesiastical Judges Association who respond to exhumaniation requests, suggested that their there was an increasing belief that "exhumation on demand" was normal and this risked burials losing their "religious and moral significance."
Association Chairman and Chancellor of the Bath and Wells diocese, Timothy Briden, said: "An alarming number of people seem to have lost the notion of the grave as the final resting place, and see human remains as assets to be dug up and taken with them like any other possessions when they move house."
Last month a church judge refused a plea by a wheel-chair bound pensioner to have her mother's cremated remains exhumed from a Norfolk churchyard.
The woman is unable to visit the graveyard because her disability does not allow her access.
Senior church officials do not want this trend to continue as they do not believe it to fit with Christian beliefs and traditions.
