A baby, who was believed to be inside the car when a woman tried to ram it through the security barricades at the White House, was reportedly aged between 12 and 18 months, NBC News in Washington said.
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The body of 25-year-old Akbar was found intact and full-clothed after searchers hunted down the python and sliced it open on Wednesday.
The ruling means Mr Trump cannot enforce his ban, which blocks new visas for people from six predominantly Muslim countries.
Thursday could be the warmest day of 2017 so far, with temperatures of 22C (72F) forecast, double the average for March.