Speaking to Attitude magazine in their commemorative love and marriage special edition, David said that he and Elton feel a duty to marry and explained the numerous reasons behind the decision.
"Elton and I will marry," he told the magazine. "As a high-profile couple, we feel it is our duty to do it, to make sure that everyone knows that this is something that many gay men living in this country never dreamed would happen."
"As something of a showman, [Elton] is aware that whatever he says and does, people will sit up and take notice," added David. "So what better way to celebrate that historic moment in time."
But it's not just in honour of the legal changes that David, 51, and Elton, 67, want to tie the knot, but for the right to call each other husband.
"Elton and I both think there is a massive difference between calling someone your 'partner' and calling them your 'husband', explained David.
"'Partner' is such an impersonal word and doesn't adequately describe the love we have for each other."
David and Elton with their son Zacahary
The couple also hope to be part of a movement setting an example for the future their sons will grow up in.
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"When Zachary and Elijah are grown up and having children of their own, they will – hopefully – be living in a world where everyone can be equal, when being married isn't about whether you're straight or gay, but simply about being human."
The couple on the day of their civil partnership in Windsor
David and Elton became civil partners on the day it came into law in on 12 December 2005.
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"Our big day made the news," said David. "It was all over the internet within minutes of happening and front page news the next day."
Introducing baby Elijah in January 2013
On Saturday, in the wake of the first few hours of following the legality of equal marriage, Prime Minister David Cameron took to Twitter to congratulate those who had already tied the knot.
"Congratulations to the gay couples who have already been married," he wrote. "And my best wishes to those about to be on this historic day."