FA chairman David Bernstein says they want better behaviour from their players.
His comments came barely 24 hours after the FA had charged Manchester United defender Rio Ferdinand over his apparent endorsement of the term "choc-ice" on Twitter, and as his former England central defensive partner John Terry prepares to contest a charge of using insulting language to Ferdinand's brother Anton.
"We must continue to be tough as a regulatory body on sanctioning and disciplining inappropriate behaviour," he said.
"Wherever possible we must bring incidents of discriminatory abuse to charge and all participants must know the consequences of their actions.
"This goes for the Twittersphere as much as on the pitch, in the stands and in the recruitment processes across football."