His comments come as the Catholic Church of England and Wales joined the 'fleshandblood' campaign, alongside several other denominations and organisations such as the Church of England, the Baptist Union, the Evangelical Alliance and the Churches of Scotland, Ireland and Wales.
The fleshandblood campaign is the first official campaign linking churches to the NHS in terms of organ and blood donation, and more than 35,000 church leaders have already received information on the project.
The Most Rev Peter Smith, Archbishop of Southwark, told Premier: "The Catholic Church is clear that, in itself, it is a good and meritorious thing freely to donate our organs after we are dead.
"Even while we are alive, actions such as giving blood can be a powerful expression of human solidarity and of Christian charity.
"Such actions can help build a culture of life; a culture in which life is cherished. For this reason I welcome initiatives such as fleshandblood, which encourages people to think of serving others in this way as a form of Christian charity."
More than 20 million people in the UK have signed up to the Donor Register, however a shortage still remains.
The next-of-kin must be informed of the individual's intentions before he or she passes away, otherwise the decision will be left to the next-of-kin and not to the individual.