During business questions on Tuesday, Martin had asked Welsh government minister Heledd Fychan for a “statement from your government on the demographic replacement of white British people taking place in the UK”.
“Mass immigration and differing birth rates mean that, in just 37 years’ time, in 2063, we will be a minority in our own country,” he said.
Fychan had asked the deputy presiding officer, who had been chairing the session, whether the question broke Senedd rules.
Irranca-Davies later called Martin’s statement “unnecessarily provocative and deliberately offensive” and “clearly discriminatory” when he issued the speaking ban.
He said that unless Martin apologised to the Senedd chamber “we will not be calling him to speak”.
Aliya Mohammed, chief executive of the charity Race Equality First, criticised Martin on Wednesday, saying “the idea that white people are being ‘replaced’ is linked to a conspiracy theory that creates division and wrongly portrays people from minority ethnic backgrounds as a threat”.
Martin, a Member of the Senedd (MS) representing Caerdydd Penarth, was accused by Plaid Cymru of dangerous rhetoric in June when he claimed attacks from Sudanese asylum seekers were inevitable.
The next day MSs walked out during a speech where Martin joked that Welsh students were unable to read, and Indian nurses were taking Welsh jobs.
He was later accused by the presiding officer of making offensive remarks in a debate about the crisis-hit Welsh Gender Service.
