The launch of the spacecraft named Amal, or Hope, marks the start of the seven-month journey to the red planet.
The launch, initially planned for July 15, had been delayed for five days due to bad weather.
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The probe will study the upper atmosphere and monitor climate change while circling Mars for at least two years.
The craft is expected to reach Mars in February 2021, the year the UAE celebrates 50 years since its formation.
UAE space program officials said several hours after take-off the probe was functioning as planned as it headed towards Mars.