NAIROBI, Kenya, Nov. 26 — The Sudanese police arrested a British schoolteacher and accused her of insulting Islam after she allowed her 7-year-old pupils to name a class teddy bear Muhammad, Sudanese officials said today.

The teacher, Gillian Gibbons, was arrested on Sunday in Khartoum, Sudan’s capital, after a number of parents complained, said Rabie A. Atti, a government spokesman.“How can you call a bear Muhammad?” he said. “Muhammad is the holy prophet of Islam.”

Dr. Rabie said the authorities had obtained a letter Ms. Gibbons sent home with students explaining that her primary school class was doing a project on animals and had adopted a teddy bear named Muhammad.

“Her letter said there was an intelligent bear named Muhammad, and the letter instructed parents to take pictures with this bear,” Dr. Rabie said. “This is not acceptable, according to the general opinion of our society.”

In Islam, insulting the Prophet Muhammad is considered a grave offense, and the law of northern Sudan, where Khartoum is located, makes this a crime. The private, relatively expensive Unity School in Khartoum, where Ms. Gibbons taught, educates a mix of Christian and Muslim Sudanese children, and the lessons are in English.

Ms. Gibbons is in jail, pending further investigation, Dr. Rabie said.

“If she is innocent, she will be set free,” Dr. Rabie.

If she is guilty, Dr. Rabie said, she will face punishment, possibly including lashes.

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