On December 23rd of 1688, James fled to France with Mary and their son arriving there shortly before.
In January of 1689, William established the convention Parliament. This meant that Mary and James had to agree to the Bill of Rights where limits were set for the monarchs. By agreeing to it, they were no longer absolute monarchs, and they were dependent on the parliament.
In April 11 1689, William III and Mary II were officially crowned when they agreed to the conditions bestowed by the parliament. England was entering a new era of constitutional rather than absolute monarchy.