The Barcelona midfielder was one of 10 Spanish players selected by UEFA's technical committee after they beat Italy 4-0 to retain their European Championship and win an historic third consecutive major tournament.
UEFA technical director Andy Roxburgh said: "Picking Iniesta as the Best Player of Euro 2012 sends a message about creativity, incisive football and humility."
Gerrard and Sweden striker Zlatan Ibrahimovic were the only selections from sides that did not reach the semi-finals.
Roxburgh added: "Gerrard played really, really well and showed great leadership qualities.
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