The Seven Laws of Noah demonstrate that almighty G-d has rules and laws for all human beings ...and that G-d loves us all. He does not leave anyone, Jew or non-Jew without guidance. To the non-Jew He has given the Seven Commandments.
Maimonides states "Whoever among the Nations fulfills the Seven Commandments to serve God belongs to the Righteous among the Nations, and has his share in the World to Come.".
Although there are many reasons for a non-Jew to follow the Laws of Noah (because one finds them moral and/or they appeal to his intellect or his sense of justice), in order to become a 'Ben Noah' (Child of Noach), one must, essentially, follow these laws because he recognizes that they were revealed by G-d (Ha shem) through Moses to the children of Israel at Mount Sinai.
Rabbi Menachem Mendel Schneerson, leader of the Chabad Lubavitch world Jewish movement, universally respected, and revered said that the Noahide Laws observance by all humankind will bring about universal peace and the Messianic Redemption. The Rebbe explained: because the basic nature of our world is perfect and good, our every good action is real and enduring, while every negative thing is just that -- a negative phenomenon, a void waiting to be dispelled. Hence the common equation of evil and good with darkness and light. Darkness, no matter how ominous and intimidating, is merely the absence of light. Light need not combat and overpower darkness in order to displace it -- where light is, darkness is not. A thimbleful of light will therefore banish a roomful of darkness.
The laws are:
1. BELIEF IN G-D
Do not worship Idols
2. RESPECT G-D AND PRAISE HIM
Do Not Blaspheme His Name
3. RESPECT HUMAN LIFE
Do Not Murder
4. RESPECT THE FAMILY
Do Not Commit Immoral Sexual Acts
5. RESPECT FOR OTHERS’ RIGHTS AND PROPERTY
Do Not Steal
6. CREATION OF A JUDICIAL SYSTEM
Pursue Justice
7. RESPECT ALL CREATURES
Do not be cruel to animals.
When Hashem created the world he gave commandments for all people to follow, these are know as the Sheva Mitzvot Benai Noach. Later when Hashem revealed the Torah Benai Yisrael were given 613 mitzvot to follow, but Hashem still loves the Goyim and wishes them to follow his commandments it is through this service that anyone may draw close to Hashem.
I took most of this from the website
http://www.noahide.org