Alvine Moseti Anyona is expected to serve up to 20 years -- a typical period for those sentenced to life in the Gulf state -- and will then be immediately deported.
The court had offered Brown's Pennsylvania-based family the option to choose the death penalty as a punishment but they declined, saying they were "not cruel".
Brown, 40, was murdered in her company-provided home in November 2012.
She had only arrived in energy-rich Qatar two months earlier to teach at the English Modern School in the city of Al-Wakrah.
But a friend of the defendant who was in court today and wished to remain anonymous said that the Kenyan would appeal the verdict.
"He told me he was beaten and he had to admit it. He confessed under duress," said the friend.
Anyona was not in the courtroom to hear the verdict.
The case has moved slowly through the Qatari legal system and was adjourned several times.
It was one of two high-profile murder cases involving foreign teachers that have recently passed through the Qatari legal system.
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