How did wigwams get there name?

The sound is similar to what the Native American peoples called their houses.

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While the first answer is vaguely correct, the Word wigwam comes specifically from the Natick language of the Massachusetts, Narragansett and Wampanoag tribes. In Natick the Word wekuwomut means "in his house", while the specific noun meaning a native house is wetu.

So wigwam does not derive from a Word meaning a house, but from the locative "in his house".

This is similar to the false idea that the Lakota Word tipi means a tent - it is really verb form meaning "they dwell".