Park View Educational Trust in Birmingham said it was "extremely disappointed" that three of the schools inspected as part of the "Trojan Horse" investigations were graded as inadequate and put into special measures.
David Hughes, vice-chair at Trust said: "We wholeheartedly dispute the validity of these gradings".
Mr Hughes said the Ofsted report has found "absolutely no evidence "of an Islamic plot "because this is categorically not what is happening at our schools."
"Our schools do not tolerate or promote extremism of any kind," he added.
Michael Gove's assertion that new rules could force schools to actively promote "British values" has sent the Twittersphere into a frenzy.
Five schools investigated in the wake of "Trojan Horse" claims will be put in special measures, while a sixth with remain under sanctions.