If you are asking do Muslims celebrate the birth of Jesus. The answer is complexed. Some Muslims sects do celebrate the birth of Jesus and some don't.
In some countries Muslim's reject the idea of the immaculate conception. In some nations Muslims protest against Christmas and any mention of Jesus or the immaculate conception.
Meanwhile it is rare but some Muslims do respect and express for love and recognition of Jesus as the Immaculate conception. Some Muslims do celebrate Christmas too. Remember Yasser Arafat the deceased Middle Eastern Leader used to mark the occassion of Christmas by visiting Bethlehem and Jerusalem. to commemorate the Birth of Jesus. I personally do celebrate Christmas and respect and love Jesus as the Spirit Of God whom came to earth to bring all mankind good news.