Background: Influenza vaccination reduces the risk of adverse outcomes in patients with cardiovascular disease (CVD). We sought to evaluate whether the presence of CVD modified the relative effectiveness of high-dose (QIV-HD) vs. standard-dose (QIV-SD) quadrivalent influenza vaccine in this prespecified analysis of the DANFLU-1 trial. Methods: DANFLU-1 was a pragmatic, open-label, randomized feasibility trial of QIV-HD vs. QIV-SD in adults aged 65-79 years during the 2021/2022 influenza season in Denmark. Vaccines were allocated in a 1:1 ratio. Baseline and follow-up data regarding diagnoses and mortality were obtained from Danish national registers. The trial is registered at Clinicaltrials.gov: NCT05048589. The CVDs assessed included heart failure (HF), ischemic heart disease (IHD), atrial fibrillation, and a combined group denoted "chronic CVD" consisting of the aforementioned diseases, among others. Prespecified outcomes included hospitalizations for pneumonia or influenza, respiratory disease, CVD, cardiorespiratory disease, all-cause hospitalizations, and mortality. Effect modification was tested using interaction terms. Results: The final study population included 12,477 participants (mean age 71.7±3.9 years, 5,877 (47.1%) female), of whom 2,540 (20.4%) had chronic CVD. QIV-HD vs. QIV-SD was associated with a lower incidence of hospitalizations for pneumonia or influenza (IRR 0.30 (95%-CI 0.14-0.64)) and all-cause mortality (IRR 0.51 (0.30-0.86)) regardless of chronic CVD (p for interaction=0.57 and 0.49, respectively). The relative effectiveness of QIV-HD vs. QIV-SD against all-cause hospitalizations was modified in participants with chronic CVD (Overall: IRR 0.87 (0.76-0.99); no chronic CVD: 0.79 (0.67-0.92); chronic CVD: 1.11 (0.88-1.39); p for interaction=0.026). No other effect modification was observed by the presence of chronic CVD, HF, IHD, or atrial fibrillation. Conclusions: The relative effectiveness of QIV-HD vs. QIV-SD was consistent against hospitalizations for pneumonia or influenza and all-cause mortality regardless of chronic CVD. However, the relative effectiveness against all-cause hospitalizations was modified by the presence of chronic CVD. These results should be considered hypothesis-generating.