| Hendrix Hair Drammen AS | Other services | 2016 |
| Henriksen & Henriksen AS | Professional & scientific | 2017 |
| Henriksen Solutions AS | Transport & logistics | 2016 |
| Henrud-Schou Holding AS | | 2019 |
| Hepe Consulting AS | Information & communication | 2017 |
| Herde Konstruksjon AS | Construction | 2024 |
| Heredis Eiendom AS | Real estate | 2021 |
| Herle Holding AS | Real estate | 2021 |
| Herman Thorbjørnsen Holding AS | | 2026 |
| Hermex AS | Information & communication | 2026 |
| Hermines Story AS | Professional & scientific | 2025 |
| Hersent Invest AS | | 2021 |
| Herstrøm Næringspark AS | Real estate | 2009 |
| Hertervig AS | Real estate | 2010 |
| Hertz Elektro AS | Administrative & support | 2022 |
| Hetebølge - Hot Yoga Drammen AS | Arts & recreation | 2017 |
| Hewbor AS | | 2024 |
| Heyerdahl Handel AS | Wholesale & retail | 2008 |
| HH Santos Invest AS | Wholesale & retail | 2019 |
| HH Services AS | Professional & scientific | 2021 |
| HHM Holding AS | | 2025 |
| Hi Consult AS | Professional & scientific | 2005 |
| Highlight Safety AS | Manufacturing | 2000 |
| Higley Holding AS | Financial services | 2005 |
| Hilden AS | Professional & scientific | 2012 |
| Hildes Agenturer AS | Wholesale & retail | 2000 |
| Hildring Studio North AS | Information & communication | 2024 |
| Hint AS | Professional & scientific | 2013 |
| Hittin Group AS | Professional & scientific | 2020 |
| Hittin Regnskap AS | Professional & scientific | 2022 |
| Hittin Services AS | Professional & scientific | 2025 |
| HJ Bygg & Taksering AS | Construction | 2024 |
| HJ Iversen Holding AS | Financial services | 2005 |
| Hjellen Eiendom AS | Real estate | 2016 |
| Hjelmtvedt Holding AS | Real estate | 1998 |
| Hjelpsomme Folk AS | Transport & logistics | 2020 |
| Hjerte Og Idrettssenteret AS | Health & social care | 2019 |
| Hjertedyr Drammen Smådyrkrematorium AS | Other services | 2019 |
| HK Næringseiendom AS | Real estate | 2018 |
| HK Smart Accounting Da | Professional & scientific | 2023 |
| Hk&Sons AS | | 2024 |
| HKM Prosjekt AS | Professional & scientific | 2008 |
| HLP Holding AS | Manufacturing | 2021 |
| Hmhorgen Invest AS | | 2026 |
| HML Invest AS | Wholesale & retail | 1977 |
| Hobbymann AS | Wholesale & retail | 2014 |
| Hoel Fysioterapi Og Helse AS | Health & social care | 2022 |
| Hofgaardsgt 13 AS | Real estate | 1982 |
| Hola Bistand AS | Professional & scientific | 2023 |
| Hold Aksjan AS | | 2025 |
| Hold AS | Information & communication | 2015 |
| Hold Pusten Da | Information & communication | 2023 |
| Hold'Em AS | Financial services | 2005 |
| Holeveien 21 AS | Real estate | 2018 |
| Hollenderkollen Utvikling AS | Real estate | 2018 |
| Hollywood Nails Gulskogen AS | Other services | 2019 |
| Holm RF Consult | Professional & scientific | 2013 |
| Holm Vann Og Avløp Drift SA | Water & waste | 2021 |
| Holmen Gård Og Omliggende Herligheter AS | Real estate | 2017 |
| Holmen Næringspark AS | Real estate | 2003 |
| Holmestrandsveien 116 Ans | Real estate | 1989 |
| Holmestrandsveien Eiendom AS | Administrative & support | 2014 |
| Holmvassnatten Verdiskaping AS | Real estate | 2013 |
| Holtefjell 80 AS | Professional & scientific | 2010 |
| Holtefjell Drift AS | Real estate | 2026 |
| Holtefjell Eiendom AS | Real estate | 2021 |
| Holtefjell Entreprenør AS | Real estate | 2026 |
| Holtefjell Management AS | | 2010 |
| Holtefjellgruppen AS | Real estate | 2021 |
| Holtet Gård Mikrogartneri AS | Agriculture & fishing | 2022 |
| Holth Omdal Invest AS | Professional & scientific | 2024 |
| Homera AS | Wholesale & retail | 2026 |
| Homo Deus Technologies AS | | 2021 |
| Hon Capital AS | | 2022 |
| Honcorp SA | Arts & recreation | 2017 |
| Honda Motor Europe Ltd Norge Norsk Avdeling Av Utenlandsk Foretak Nuf | Wholesale & retail | 2000 |
| Hontvedt AS | Information & communication | 2023 |
| Hoogerman AS | | 2021 |
| Hopalong Invest AS | Financial services | 2018 |
| Hoppesen Invest AS | Financial services | 2005 |
| Hoppy Days Invest AS | | 2016 |
| Hopstad & Jensen Bygg Og Eiendom AS | Construction | 2017 |
| Hopstad & Jensen Mur Og Flis AS | Construction | 2009 |
| Horisont Rådgivning AS | Professional & scientific | 2021 |
| Horizon Capital AS | | 2023 |
| Horsrud Selskapslokaler & Catering AS | Hospitality | 2002 |
| Horst Invest AS | Financial services | 2006 |
| Horten Bolig AS | Real estate | 2018 |
| Horten Øre Nese Hals AS | Health & social care | 2019 |
| Hos Solveig AS | Hospitality | 2007 |
| Hoseth Invest AS | Financial services | 2017 |
| Hoseth Investment AS | | 2024 |
| Hotel Tollboden AS | Hospitality | 1989 |
| Hotel Union Drammen AS | Hospitality | 2008 |
| Hotelldrift Q River Station AS | Hospitality | 2005 |
| Hotvet Boligpark AS | Real estate | 2020 |
| Hotvet Legesenter AS | Health & social care | 2021 |
| Hotvetalleen 3 AS | Real estate | 2019 |
| Hotvetveien 1 AS | Real estate | 2004 |
| House of Helin Jewelry AS | Wholesale & retail | 2025 |