James Jones, Bishop of Liverpool, told ITV News that he would like to see the ban on same-sex blessings overturned.
He told Social Affairs Editor Penny Marshall: "We’ve come to a time now that if we believe that civil partnerships are just then we can’t withhold the blessing of God from that which we believe to be just”.
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The proposals are being introduced in order to help create more equality in the treatment of physical and mental health.
The prime minister said "tough new rules" will be introduced to tackle the behaviour of executives who put their workers' pensions at risk.
The musician, whose career spanned six decades and included 18 years with The Kinks, died on Saturday after a fall.