Greenwood Junior School sent out a letter to parents saying the three-day festival of Eid al-Adha, which takes place between December 8 and 11, meant that Muslim children would be off school.
That meant planning for the traditional nativity play were shelved because the school felt it would be too difficult to run both celebrations side by side.
The move has left parents furious.
Janette Lynch, whose seven-year-old son Keanu attends the school, in Sneinton, Nottingham, said: "The head has a whole year to plan for Eid and so she should be able to plan for both religious festivals.
"I have never heard of this at a school. It is the first year my son has been there and a lot of the mums like me were really looking forward to seeing the children in the nativity."
She said a letter, sent from "The staff at Greenwood Junior School', said: "It is with much regret that we have had to cancel this year's Christmas performances. This is due to the Eid celebrations that take place next week and its effect on our performers."
LinkI know this is in the UK, but I do see the possibility of it happening here in some of the moonbat strongholds.