A solicitor and notary public, was a Senior Partner and Consultant with Cartwrights, Adams & Black in Cardiff. He was President of Cardiff Law Society from 1995-1996. Joining RNVR in 1952, he spent his National Service in the Royal Navy from. 1958 – 1960. Following this, he joined the South Wales Division of the Royal Naval Reserve. He was awarded Reserve Decoration in 1971 and Bar in 1980, he was appointed Commanding Officer of HMS Cambria, South Wales Division RNR, in 1981 and promoted to Captain in 1982. He retired in 1986. He was appointed Naval ADC to HM The Queen Elizabeth II in 1984. Lloyd-Edwards was honorary Colonel of Second Battalion Royal Regiment of Wales 1995-1999; Honorary Colonel of the newly formed Royal Welsh Regiment, 1999-2003; Honorary Colonel 160 Brigade 2007-11; now Honorary Colonel of 53 Squadron, Royal Corps of Signals. Having previously been Chairman of Glamorgan TAVRA, he was President of RFCA Wales 1999-2005 and President No. 1 Welsh Wing, Air Training Corps. He served on Cardiff City Council between 1963 and 1987, and was Deputy Lord Mayor in 1972/73. Sir Norman was Lord Mayor in 1985/86. He contested Rhondda West in 1964 and Cardiff South East in 1966 & 1970 as Conservative Candidate.
Public office
In 1978, Lloyd-Edwards was appointed Deputy Lieutenant for South Glamorgan, in 1986 Vice Lord Lieutenant and in August 1990 Lord Lieutenant. He became the Chief Magistrate of the county. On 8 June 2008 it was announced that Lloyd-Edwards would retire from the post of Lord Lieutenant of South Glamorgan on his 75th birthday. Lloyd-Edwards is President of the Pilot cutter seamark charitable trust, an organisation restoring Swansea's pilot ship first commissioned in 1959. He has been Vice President of the Royal Welsh College of Music and Drama since May 1995. Lloyd-Edwards was Chapter Clerk of Llandaff Cathedral from 1975 to 1990. He is now President of the Friends for the Cathedral and for the Parish Churches of St. John, Central Cardiff. and St Germans, Adamsdown, Cardiff. Lloyd-Edwards’s current roles include: President of the City Hospice, Community Foundation Wales, RNLI, Royal British Legion, Cardiff & Vale Youth Orchestra, , the Duke of Edinburgh’s Award Wales and the . He is also the Chairman of the National Youth Orchestra of Wales, Welsh Chamber Orchestra and of . Lloyd-Edwards was previously President of the local Branches of the National Trust; King George’s Fund for Sailors; Tall Ships Youth Trust; and of the Ivor Novello Statue Fund. Sir Norman also served as the Chairman of Wales Committee Duke of Edinburgh’s Award 1981 – 1996. He was a Governor of the English Speaking Union 2004 -10. He is also the former President of South Glamorgan Scouts. He is still Patron of the Wales Festival of Remembrance. He is Founder Master of the Worshipful Livery Company of Wales for Arts, Science and Technology 1991 – 1995. Lloyd-Edwards was Chairman of National Rescue Training Council from 1981 - 1996; Chairman of Gwerin Housing Assoc. 1991-1996. For some years he was Chairman of Cardiff Festival of Music, a member of the Welsh Arts Council and the BBC Council for Wales. Patron of Cardiff Bay Yacht Club. He was awarded the General Service Medal with Northern Ireland Clasp, Queen Elizabeth II Golden Jubilee Medal, Reserve Decoration with 1 Clasp, Service Medal of the Order of St John with 3 Silver Clasps, Queen Elizabeth II Diamond Jubilee Medal.
Lloyd-Edwards had a career in English Freemasonry. He has served many years as President of the Masonic Samaritan Fund, and in April 2008 it was announced that he would be the new Provincial Grand Master for the Masonic Province of South Wales, retiring in 2013.