SummaryLate toxicities can impact survivorship in patients with classical Hodgkin lymphoma (cHL) with pulmonary toxicity after bleomycin‐containing chemotherapy being a concern. The incidence of pulmonary diseases was examined in this Danish population‐based study. A total of 1474 adult patients with cHL treated with ABVD (doxorubicin, bleomycin, vinblastine and dacarbazine) or BEACOPP (bleomycin, vincristine, etoposide, doxorubicin, cyclophosphamide, procarbazine and prednisone) between 2000 and 2018 were included along with 7370 age‐ and sex‐matched comparators from the background population. Median follow‐up was 8.6 years for the patients. Patients with cHL had increased risk of incident pulmonary diseases (HR 2.91 [95% CI 2.30–3.68]), with a 10‐year cumulative risk of 7.4% versus 2.9% for comparators. Excess risks were observed for interstitial lung diseases (HR 15.84 [95% CI 9.35–26.84]) and chronic obstructive pulmonary disease (HR 1.99 [95% CI 1.43–2.76]), with a 10‐year cumulative risk of 4.1% and 3.5% respectively for patients. No excess risk was observed for asthma (HR 0.82 [95% CI 0.43–1.56]). Risk factors for interstitial lung diseases were age ≥60 years, the presence of B‐symptoms and low albumin. These findings document a significant burden of pulmonary diseases among patients with cHL and emphasize the importance of diagnostic work‐up of pulmonary symptoms.