The state of Alaska is already doing something similar, The Alaska Permanent Fund.
The Alaska Permanent Fund is a state-owned investment fund established using oil revenues. It has, since 1982, paid out an annual dividend to every man, woman, and child living in Alaska. In 2015, with oil prices high, the dividend totaled $2,072 per person, or $8,288 for a family of four. By 2017, it had been cut down to $1,100 due to money being diverted to other purposes; in cheaper gas years, it can dip into the $800 to $900 range