Phil Willis MP highlighted the case of Bullying Online in the House of Commons, saying the charity was being denied access to the alliance because it refused to sign a code of conduct that says it must not criticise Government officials.
Twigg said he had received a "considerable number of letters" from MPs about the matter.
A spokeswoman for the alliance denied it had issued a gagging order. "Bullying Online is not a member of the alliance at the moment," she said.
"Individual members are asked to sign a code of conduct on issues such as respect and courtesy. But we would never suggest there shouldn't be lively public debate of the issues."
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