why did the puritians establish the Mass. bay colony?

Answer 1

The Puritans, who hoped to make the Anglican Church "pure" and rid it of what they saw as Catholic and other negative influences, grew frustrated with persecution and decided to try the New World. They received a charter and settled in what became the Massachusetts Bay area. They were hoping to create a perfect society, a "City on a Hill", as their leader John Winthrop put it.
They weren't so much interested in "religious freedom" as they were in the freedom for themselves to practice their religion. Others who emerged and disagreed were either thrown out (Anne Hutchinson, Roger Williams) or executed (various Quakers, such as Mary Dyer). Not going along with the established order (as set down by the Man upstairs) was a challenge to the Divine.
Incidentally, the Pilgrims are another group of Puritans, who detoured to Holland first before going to the New England area.

Answer 2

They did this for essentially the same reason that the Separatists (Pilgrims) did--they were looking for a form of religious freedom.

Unlike the Separatists, the Puritans didn't want a complete break with the Anglican Church; they merely wanted to "purify" it of practices that they felt were too close to Catholicism. At this time in history, when you lived in a place where any church was the established one, you'd generally have problems with those who were in temporal power.

So, a number of Puritans decided to set out for the New World, where they'd be free of governmental meddling in matters of worship--that is, their OWN worship.

This group wasn't known for its broadmindedness when it came to matters of faith, and were just as repressive in their own way as the government back home. Just for starters, you had to be a member of the Puritan church in order to vote (oh, and a male member of the church at that) for public officials. Conformity in religion was demanded--if you dissented, you faced the fate of Roger Williams and Anne Hutchinson, both of whom were banished from the colony for not going along with the Puritans' agenda. Or, if you professed a different set of religious beliefs, such as those of the Society of Friends (better known as the Quakers), you would likely be flogged and banished for your offense. If you had the gall, the guts, and the grit to come back, you'd be executed.

I guess the Puritans were looking to establish a Heaven on
earth--or at least their own idea of one.

Answer 3

Do y ou really want to know absolutely why?

They landed in Mass. purely because they were out of potable water and had no beer left.

Answer 4

They wanted a place to practice Puritanism, and not be oppressed. Also they wanted place where the language and rules were theirs.

Answer 5

religious freedom...