 | Ulf Goran Emil HAMMARSTROM * FilDr Uppsala Professor of Linguistics 1 June 1965 - 31 December 1987 Conferred 1 January 1988 | |
 | Richard HARDING BSciMSci Melb PhD Edin DSci Monash Professor, Department of Physiology and Department of Anatomy and Developmental Biology 2005 - 2015 Conferred 1 January 2016 | |
| Anthony Howard HARRIS MA Edin MSc Oxon Professor, Centre for Health Economics 2009 - 2025 Conferred 20 December 2025 | |
| Barry Thomas HART DipAppChem Bendigo IT DipChemEng Swinburne IT BSc PhD Personal Chair in Environmental Chemistry 8 August 1994 - 30 December 2003 Conferred 1 February 2006 | |
| Margaret HAY BBehavSc(Hons) LaT GradDipEpi Melb PhD LaT GradCertHlthProfEd Professor, Faculty of Medicine, Nursing and Health Sciences 2016 - 2023 Conferred 6 June 2023 | |
 | John Graeme HEAD * BEc Adel BPhil Oxon Professor of Economics 1 July 1976 - 31 December 1997 Conferred 1 January 1998 | |
 | Milton Thomas William HEARN BSc (Hons) PhD DSc Adelaide Professor of Chemistry 2002 - 2016 Director, ARC Special Research Centre for Green Chemistry 2002 - 2012 Director, Centre for Bioprocess Technology 1987 - 2002 Professor of Biochemistry 1986 - 2002 Conferred 1 September 2016 | |
 | Alan Sorley HENRY * MA PhD DipEd St.And Professor of Classical Studies 6 January 1973 - 31 December 1996 Conferred 1 January 1997 | |
| Ariel HERYANTO MA Mich PhD Herb Feith Professor for the Study of Indonesia 2017 - 2020 Conferred 29 February 2020 | |
| Jennifer Jane HOCKING BSc BEc PhD Syd Professor - Australian Studies 2007 - 2017 Conferred 2 January 2018 | |
| Graeme HODGE BE(Hons) MEngSc MBA PhD Monash Professor, Faculty of Law 2001 - 2022 Adjunct Professor, Faculty of Law 2023 - 2025 Conferred 1 December 2025 | |
 | Bernard John HOFFERT BA(Hons) LaTrobe DipArt Preston IT Professor, Faculty of Art, Design and Architecture 2001 - 2012 Conferred 1 January 2013 | |
 | Bruce William HOLLOWAY BSc Adel DSc Melb PhD Cal.Tech Professor of Genetics 1 February 1968 - 31 December 1993 Conferred 1 January 1994 | |
 | Mollie Elizabeth HOLMAN * MSc Melb DPhil Oxon DSc Personal Chair in Physiology 14 September 1970 - 31 December 1995 Conferred 1 January 1997 | |
| Damon HONNERY BE(Mech) MEngSc PhD Syd Professor, Mechanical and Aerospace Engineering 2015 - 2023 Conferred 1 July 2023 | |
| Rosemary Sylvia Claire HORNE BSc MSc Massey PhD Monash BLitt Melb DSc Monash Professor, Ritchie Centre, Hudson Institute of Medical Research 2012 - 2013 Professor, Paediatrics 2014 - 2025 Conferred 9 March 2026 | |
 | Sir Edward Stuart Reginald HUGHES * MD MS Melb HonLLD Professor of Surgery 5 November 1973 - 31 December 1984 Conferred 1 January 1985 | |
 | John Stirling HUMPHREYS BA DipEd Melb PhD Professor of Rural Health Research 1 July 2000 - 2 July 2012 Conferred 3 July 2012 | |
 | Kenneth Henderson HUNT * MA Oxon MMechE Melb HonDEng Professor of Mechanism 1 January 1976 - 31 December 1985 Foundation Dean of Faculty of Engineering 14 February 1961 - 31 December 1975 Professor of Engineering 13 June 1960 - 19 June 1966 Conferred 1 January 1986 | |