Germany's Neuer won the Golden Glove award for the tournament's best goalkeeper.
The 28-year-old Bayern Munich player was presented with the award moments after Sunday's triumph.
"It is unbelievable, and an awesome experience," said Neuer.
"Germany are world champions. I don't know how long we will celebrate, but we will go about it with big grins.
" Bayern Munich star Goetze struck in the 113th minute of a gripping battle at Rio de Janeiro's Maracana Stadium as Argentina superstar Lionel Messi's hopes of emulating Diego Maradona ended in defeat.
Germany have now won four World Cups, putting the European powerhouses just one behind Brazil's record tally of five.
"It's unbelievable what we have achieved.
Whether we have the best individual player doesn't matter at all, you just need to have the best team," said delighted Germany captain Philipp Lahm.
German coach Joachim Loew revealed he had encouraged Goetze to eclipse Argentina star Messi when he came on as an 88th minute