Messi captained Argentina to World Cup glory in Qatar, and scored 27 goals in 49 games for club and country in 2021-22
Martinez, 30, helped his country win the World Cup, saving four penalties along the way including in the shootout victory against France in the final.
Collecting his award, Martinez said: "They always ask me who my idols are or who I watched when I was a kid… watching my mum clean buildings for eight or nine hours and watching my dad work. They are my idols."
Earps, who plays for Manchester United in the Women's Super League, started all six of England's games at Euro 2022 as they won the competition.
She said: "For anyone who has been in a dark place, just know there is light at the end of the tunnel, so keep going. You can achieve anything that you set your mind to."
§ How Martinez became world's best goalkeeper
Amputee footballer Marcin Oleksy, of Polish side Warta Poznan, won the Fifa Puskas award for the best goal of the year. He sent a stunning overhead volley against Stal Rzeszow flying into the back of the net with the help of his crutches.
Recipient of the fair play award was Luka Lochoshvili, who held the tongue of his opponent, Georg Teigl, to save his life after the midfielder had fallen unconscious.
Fifpro men's world
XI: Thibaut Courtois; Achraf Hakimi, Virgil van Dijk, Joao Cancelo;
Kevin De Bruyne, Luka Modric, Casemiro; Lionel Messi, Erling Haaland, Karim
Benzema, Kylian Mbappe.
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