The Prince, who is president of the Football Association, struck up a friendship with David when they worked together on England’s bid for the 2018 world cup.
A source told The Sunday Mirror that the Beckhams were among the first people to congratulate the happy couple on their engagement.
They said: “David texted Wills as soon as he heard, and Wills told him an invite was on its way. David and Victoria were both thrilled and can’t wait.”
Others rumoured to be receiving invites to the nuptials on April 29 next year include the Obamas, Sir Paul Mcartney and Sir Elton John. The official list is expected to be announced in February after Wills and Kate have received RSVPs.
Prince William is also planning to invite hundreds of ordinary people from different walks of life, according to reports. Terminally ill children, the homeless and servicemen could be among those invited if the plans go ahead.