| Henry Klemmetsby AS | Other services | 1980 |
| Hepe Invest AS | Real estate | 2019 |
| Her Er AS | Information & communication | 2014 |
| Herholdt Andersen AS | Wholesale & retail | 1976 |
| Herholdt AS | Real estate | 2007 |
| Hermelin Invest AS | Manufacturing | 1946 |
| Hermes Enterprises Ans | Arts & recreation | 1995 |
| Hersan AS | Wholesale & retail | 2021 |
| Hertug Guttormsgate 1 AS | Real estate | 2008 |
| Herwig Invest AS | | 2018 |
| Herøya Hybelhotell AS | Hospitality | 2015 |
| Hes Pizza AS | Hospitality | 2021 |
| Hesby Eiendom Og Holding AS | Real estate | 1993 |
| Hesby Invest AS | | 2021 |
| Hesnes Gas AS | Transport & logistics | 2014 |
| Hesnes Holding AS | Wholesale & retail | 2002 |
| Hesnes Invest AS | Real estate | 1989 |
| Hesnes Shipping AS | Transport & logistics | 1986 |
| Hesnes Tech Invest AS | Real estate | 2018 |
| Hestdal Holding AS | Construction | 2005 |
| Hetty Holding AS | | 2026 |
| Hewako Consulting AS | Professional & scientific | 2025 |
| HF Bygg AS | Construction | 2024 |
| HG Sivertsen Holding AS | | 2026 |
| HHG Eiendom AS | Manufacturing | 2015 |
| Hibe Holding AS | | 2023 |
| Hii Haa AS | Real estate | 1987 |
| Hinderveien 2 AS | Real estate | 2012 |
| Hinnaland Holding AS | Administrative & support | 2005 |
| Hipers Heaters AS | Wholesale & retail | 2022 |
| Hjellset Eiendom AS | Real estate | 2021 |
| Hjertefamilie AS | Education | 2022 |
| Hjertespesialist Lars Erik Gevelt AS | Health & social care | 2016 |
| HK Sveis & Platemekanikk Ans | Manufacturing | 2018 |
| HL Entreprenør AS | Construction | 2026 |
| HL Entreprenør Da | Construction | 2025 |
| HM Kaupang Holding AS | | 2026 |
| HMR Invest AS | Financial services | 2005 |
| HN Investment AS | | 2024 |
| HNP F1 AS | Real estate | 2024 |
| HNP F2 AS | Real estate | 2024 |
| HNP F3 Og F5 AS | Real estate | 2024 |
| HNP F4 AS | Real estate | 2024 |
| Hof AS | Real estate | 2025 |
| Hoff Group AS | Construction | 2023 |
| Holand AS | Health & social care | 2015 |
| Holar Ola Roald AS | Professional & scientific | 1998 |
| Holbergsgate I AS | Real estate | 2015 |
| Holbergsgate III AS | Real estate | 2015 |
| Holden Holding AS | Real estate | 2020 |
| Holding Schmolding AS | Professional & scientific | 2010 |
| Holdingselskapet 2012 AS | Information & communication | 2012 |
| Holdsing AS | | 2023 |
| Holland Park Interiør AS | Professional & scientific | 2022 |
| Holmberg Holding AS | | 2022 |
| Holmen Brygge Eiendom AS | Real estate | 2009 |
| Holmen Gruppen AS | Real estate | 2005 |
| Holmestrand Næringspark AS | Real estate | 2008 |
| Holtan Holding AS | Financial services | 2005 |
| Home Living AS | Wholesale & retail | 2023 |
| Homeskin AS | Other services | 2023 |
| Hometex H G Johannessen Da | Wholesale & retail | 2000 |
| Honning AS | Wholesale & retail | 2016 |
| Hopenhus AS | Health & social care | 1985 |
| Hopsnes Prosjekt AS | Real estate | 2024 |
| Horten Havnepark AS | Real estate | 2019 |
| Hostvedt AS | Real estate | 2010 |
| Hotel Klubben Da | Real estate | 1989 |
| House of Hair AS | Other services | 2014 |
| Hovlandveien 6 Holding AS | Real estate | 2023 |
| How Group AS | Information & communication | 2024 |
| HPJ Holding AS | Financial services | 2013 |
| HRB Holding AS | Health & social care | 2023 |
| HS Brukt & Antikk AS | Wholesale & retail | 2020 |
| HTG Consult AS | Professional & scientific | 2014 |
| Hud:Ro AS | Wholesale & retail | 2025 |
| Hulry Holding AS | Financial services | 2024 |
| Human Care AS | Health & social care | 2012 |
| Human Care Bo AS | Health & social care | 2020 |
| Human Care Eiendom 2 AS | Real estate | 2019 |
| Human Care Eiendom 3 AS | Real estate | 2020 |
| Human Care Eiendom 4 AS | Real estate | 2021 |
| Human Care Eiendom 5 AS | Real estate | 2021 |
| Human Care Eiendom AS | Real estate | 2019 |
| Human Care Holding AS | Health & social care | 2019 |
| Human Care Ung AS | Health & social care | 2020 |
| Hunger Holding AS | Professional & scientific | 2011 |
| Hunger Service AS | Professional & scientific | 2016 |
| Huset Tønsberg AS | Hospitality | 2023 |
| Husfliden Tønsberg AS | Wholesale & retail | 1990 |
| Husvik Holding AS | Real estate | 2007 |
| Husvik Industriservice AS | Manufacturing | 2007 |
| Husvik Invest AS | Real estate | 2007 |
| Husvika AS | Information & communication | 2006 |
| Husviktunet AS | Health & social care | 2022 |
| Husøy Småbåthavn SA | Other services | 1968 |
| Hvarnes Holding AS | Real estate | 2005 |
| Hvit Drift AS | Administrative & support | 2020 |
| Hyper Energy Nuf | Professional & scientific | 2007 |
| Hyperlane AS | Information & communication | 2022 |