Claire Curtis-Thomas, Labour MP for Crosby and chair of the all-party group on abuse investigations, presented a petition of 30,000 signatures supporting the teaching union's campaign to the House of Commons last week.
"In the last few years, thousands of teachers and carers have been suspended from work and arrested and charged with a physical or sex abuse crime that they did not commit," she said.
"Despite the charges being dropped and the teacher or carer being vindicated, the reputations of the individuals concerned and their families in many instances are tarnished for life.
"When teachers and carers are suspended from work, many do not know why until they read their local newspaper and find themselves branded a sex pest. To be accused of being a sexual or physical abuser is too much for some teachers and has resulted in a number of suicides."
Curtis-Thomas called for better procedures and interviewing techniques to detect false or malicious allegations. She also highlighted the need for better training of people taking statements from children.
"A child who makes an allegation in school may see half-a-dozen people before a formal statement is taken. Throughout the country there is a paucity of appropriate venues for taking statements," she added.
Anne Houston, director of ChildLine Scotland and deputy chief executive of ChildLine UK, said she understood teachers' concerns, but warned that complete anonymity might make it hard for witnesses to corroborate evidence.
"The issue is complex. From our perspective, we need to ensure any vulnerable child comes forward. They already find it hard to talk about abuse by someone in authority, because they fear that they will not be believed," she said.
But she backed the call for better training on dealing with abuse allegations: "Children tell us that when they've tried to talk about it and the child-protection system takes over, they feel intimidated and unable to talk."
A spokeswoman for the Home Office said that it was concerned about identification before being charged, and that it was working with the police and media to strengthen existing guidelines.
But she said there was no reason why people accused of sexual offences should be singled out for special protection.
NASUWT said that it had supported 1,907 members facing allegations by a child or young person over the last 13 years. Of these cases 1,663 had been concluded with 74 convictions.