Norreys was elected to the House of Commons of England as the Member of Parliament for Oxfordshire in a by-election in November 1675.
[1] In late 1687, he refused to answer the questions of James II's agents on whether he would support repeal of the Test Act and he was removed from his local offices in February 1688.
Following the Glorious Revolution, Norreys was elected to represent Oxford but stayed relatively inactive in parliament.
Between 1701 and 1708, Norreys returned to representing the county seat, including in the First Parliament of Great Britain from 1707.
All of his sons, including Francis Norreys, predeceased him and his estates were inherited by Henry Bertie, the husband of his eldest daughter Philadelphia.