The first color television was invented by American inventor, Philo T. Farnsworth. On August 25th, 1933, Farnsworth demonstrated the world's first fully functional all-electronic television system at his 18-year-old laboratory in San Francisco, California. This complete system was an entirely new development and the first of its kind in the world.
The breakthrough came when Farnsworth realized that he could use an image dissector tube, which works much like a Cathode Ray Tube (CRT), to "capture" the electron beams that make up a television image, and then store the beams in a camera tube. This technology, which he developed between 1927 and 1929, was the first all-electronic color television system -- most systems before this used mechanical component to scan the image.
Since then, the technology has been greatly improved and refined by other inventors and engineers across the globe, which has helped shape the television sets that are so popular today.
For more information about the history of color televisions:
https://www.howitworksdaily.com/inventions/when-was-colour-television-invented/