It might be easier to link you to their page, but the basic view is that the foundation for our government(United States) is laid out in the Bill of Rights of the Constitution.
Home | The Constitution Party see "Seven Principals" and for what they are fighting for "Key Issues"
Basically though;
That we the people have these rights intrinsically - by our right as the people, not because the government gives them to us, but because we do not surrender them up to the government.
The crux is found in Amendment 10 "The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people" - Or in other words, if we haven't already given you(The Federal Government) the right to decide on a matter, it's up to the States and the Citizens of the lands to decide that matter.
They also believe in six other core values
1)The Sanctity of Human Life
2)The Biblical Definition of Marriage
3)The right of the individual to own and maintain Private Property
4)The Sovereignty(Or Self-Rule free from outside parties) Of the United States
5)Proper Interpretation of the Constitution based on Author's Intent, not Modern meaning of words
6) The true freedom the individual to act according to one's own will and conscious (ending where another's life or property begins - see above)
I gravity between the views of the Constitution party and the Libertarian Party....
if you want a break down of the Libertarian party I will be glad to another time... now I must needs sleep.