Bnei Noah is a group of non-Jews who faithfully observe the Seven Laws of Noah that G-d has commanded them according to the Jewish tradition. Here is a short synopsis of the 7 Laws of Noah.
Not to worship idols is derived from the verse “Anyone who sacrifices to any god other than the LORD must be destroyed” (Shmot 22:19, or Exodus 22:20).
Not to to curse G-d is derived from the verse “‘Anyone who curses their God will be held responsible; anyone who blasphemes the name of the LORD is to be put to death” (Vaikra 24:15-1, or Leviticus 24:15-16).
“If anyone sheds human blood, the person’s blood will also be shed…” (Bereishit 9:6, or Genesis 9:6).
Not to commit sexual immorality is derived from the verse “For all these abominations were done by the people who lived in the land before you” (Vaikra 18:27, or Leviticus 18:27).
Not to steal is derived from the story of Joseph: “If you find the cup with anyone of your servants, let him die” (Bereishit 44:9, or Genesis 44:9).
Not to eat flesh torn from a living animal is derived from the verse “Only you must never eat any flesh with its lifeblood in it” (Bereishit 9:4, or Genesis 9:4
A commandment to establish courts of justice is derived from the story of Shehem and Dinah (Bereishit 34:26, or Genesis 34:26)