The origin of the name Felix is Greek
This is how Felix is written in Greek
Φῆλιξ = Phēlix
the meaning of the name Felix is: happy
Felix was a Roman procurator of Judea appointed by the emperor Claudius
The name Felix appears in the bible in the following verses:
Acts 23:24
And provide them beasts, that they may set Paul on, and bring him safe unto Felix the governor.
Acts 23:26
Claudius Lysias unto the most excellent governor Felix sendeth greeting.
Acts 24:3
We accept it always, and in all places, most noble Felix, with all thankfulness.
Acts 24:22
And when Felix heard these things, having more perfect knowledge of that way, he deferred them, and said, When Lysias the chief captain shall come down, I will know the uttermost of your matter.
Acts 24:24
And after certain days, when Felix came with his wife Drusilla, which was a Jewess, he sent for Paul, and heard him concerning the faith in Christ.
Acts 24:25
And as he reasoned of righteousness, temperance, and judgment to come, Felix trembled, and answered, Go thy way for this time; when I have a convenient season, I will call for thee.
Acts 24:27
But after two years Porcius Festus came into Felix’ room: and Felix, willing to shew the Jews a pleasure, left Paul bound.
Acts 25:14
And when they had been there many days, Festus declared Paul’s cause unto the king, saying, There is a certain man left in bonds by Felix: