The Glorious Revolution of 1688 was significant because it established British Parliament's authority over the monarchy. The Revolution also further established the supremacy of the Anglican Church over Catholic interests in England.
In 1688 and 1689, the English parliament and people deposed the Catholic King James II and placed his daughter Mary and her husband William of Orange on the throne as dual monarchs. King James II was the legitimate heir of the English throne, but he was a professed Catholic with strong ties to the Pope and to King Louis XIV of France.
James II disappointed the predominantly Anglican parliament by enacting royal decrees in support of Catholics. Despite this, and the King's dissolution of parliament in 1687, the English people were able to deal with a Catholic monarch, as long as his only heir was his Protestant daughter.
However, in 1688, James II fathered a healthy son that could legally become the English Crown Prince and heir to the throne. The English peerage used this event to stir dissent and turn public opinion against the king. The earls of Danby and Halifax, along with other British nobles and clergy, reached out to Mary and William and invited them to come to England and take the throne.
William of Orange landed in England on Nov. 5, 1688, and James' support dissolved around him. He fled the country, and on Feb. 13, 1689, William and Mary took the throne of England.