Green’s children rushed on to the stage and hugged him as he ended his poem, which was dedicated to them – and it moved judges Amanda Holden and KSI to tears.
He described it as “one of the best moments of our lives”, adding: “They smashed it… the world’s their oyster.”
The 31-year-old, whose work was featured during London’s New Year’s Eve fireworks display, hopes to be crowned winner on Saturday night.
On the line is a £250,000 prize and the chance to get on-stage at the Royal Variety Performance in November.
Green said he had written something “completely new” for his act, revealing most of it was written on Southend’s seafront.
He added: “It will change my life completely if I win that show.”