Stuart has acted in a wide range of shipping and commercial litigation cases and has acted for P&I Clubs. He has also acted for many overseas and local insurance companies and syndicates, conducting cases in diverse areas including fire, professional indemnity, directors' and officers' liability, product liability, financial institutions and business interruption.

Stuart was awarded the Lloyd’s List DCN Maritime Service Award in 2010.

Stuart was the President of the prestigious Comité Maritime International (CMI) from 2012-2018. He has also served on the boards of the Sydney Port Authority and the Sydney Ports Corporation.

Stuart is listed in the 2013-2023 editions of The Best Lawyers in Australia in the field of shipping and maritime, transportation and insurance. Every year since 2016 he has also been listed in the fields of alternative dispute resolution and litigation, and since 2019 in the field of trade law. Best Lawyers also named Stuart the Shipping and Maritime Lawyer of the Year in Australia in the 2014-15 edition, Transportation Lawyer of the Year in 2021 and Trade Lawyer of the Year in 2023.

In 2015, Doyle's Guide listed Stuart as a recommended Australian shipping lawyer, and in 2016, it named him as a  leading shipping and maritime lawyer in Australia. In 2017 and 2020 Doyle's Guide listed Stuart as a preeminent shipping and maritime lawyer and in 2017 as a recommended aviation lawyer. 

In addition, Stuart was listed as a recommended lawyer in transport in the Legal 500 Asia Pacific 2015 and 2016 editions. He has also been recognised as a leading lawyer in shipping in Chambers and Partners (2013 - 2022) and Who's Who Legal Transport 2015, 2016, 2017, 2018 and 2019.

Stuart is an accomplished author, having published Annotated Admiralty Legislation in 1988 and numerous articles. He has also presented papers at seminars for clients, the legal profession and the insurance and shipping industries.

Stuart was called to the Bar of England and Wales in 1973 and admitted as a Barrister in NSW in 1975. He is admitted to practice in the Supreme Courts of NSW and Victoria, the Federal Court and the High Court of Australia. Stuart joined the legal practice as a partner in 2005.