This comes after the majority of the leading Archbishops of the whole global Anglican Communion affirmed in January 2016 that diminishing and criminalising homosexual people is wrong.
In the statement, Archbishops Justin Welby and John Sentamu said the Church is usually known for what it condemns but not what it supports.
They said: "The Church is called more to be identified by what it loves, most of all by its pointing to Jesus Christ, not merely by what it condemns.
"Many people who have nothing to do with the institutional church and who seldom, if ever, attend it, nevertheless see in Jesus Christ someone of startling and extraordinary attraction.
"Many homosexual people follow Christ, drawn to him by his love and his outstretched arms welcoming all those who turn to him."
The Church of England leaders used Matthew 11:28-30 to encourage people to lay their burdens on Jesus and said that sin is the heaviest of burdens and " is not a characteristic of a particular group of people ", but the same for everyone.
They continued: "This day of anniversary of the 1967 Act is one when the Church in this land should be conscious of the need to turn away from condemnation of people as its first response.
"When we rightly celebrate what happened 50 years ago today, we do so best by turning to him and saying, 'Yes, we take your yoke on our shoulders with you'".
