It comes after Green Party leader Zack Polanski said he will not accept anyone being excluded from the Green Party “because of the religious or communal body they are part of”.
In a statement, Dyer said the party’s motion is “not council policy” and “does not represent my views or the views of Bristol City Council”.
“I firmly believe that representing the council as its leader means speaking up when views differ, while continuing to work constructively together,” he added.
“That conviction extends to the political party of which I am a member – and this is one such moment.
“As we have consistently stated, the council supports the right of both the Palestinian and Israeli people to self-determination and strongly advocates for a two-state solution and the peaceful coexistence of Palestinians and Israelis.
“I want to reiterate to all communities across our city that we share a responsibility to treat one another with respect, compassion and understanding.”
The Green Party currently lead the minority council as the largest party, with committee chair positions shared among the party and Liberal Democrats.
