Football Association chairman David Bernstein believes FIFA president Sepp Blatter's apology over his racism in football comments was "necessary".
Blatter sparked a huge furore by suggesting racist abuse on the pitch should be settled by a handshake at the end of the match.
Angry critics, including prime minister David Cameron and England star Rio Ferdinand, have rounded on the 75-year-old for his ill-advised comments.
The Swiss chief apologised for the remarks, which he insists were misunderstood, but remained firm that he would not resign from his post as football's most powerful man.
Bernstein, whose FA role includes leading efforts to stamp racism out of the English game, said: "All forms of discrimination should be reported and it is our responsibility to investigate these fully.
"A handshake at the end of the game does not draw a line under racial abuse during a match.
"Mr Blatter has made it clear he will not resign but his apology was necessary.
"His initial comments were wrong and irresponsible.
"With power comes responsibility and I, along with others in prominent positions in the game, have to make sure we live up to the values of which we speak."