Aims Right ventricular free wall (RVFWLS) and four-chamber longitudinal strain (RV4CLS) are associated with adverse events in various patient populations including patients with heart failure (HF). We sought to investigate the prognostic value of RVFWLS and RV4CLS for the development of incident HF in participants from the general population. Methods Participants from the 5th Copenhagen City Heart Study (2011–2015) without known chronic ischaemic heart disease or HF and results at baseline were included. RVFWLS and RV4CLS were obtained using two-dimensional speckle-tracking echocardiography from the right ventricular (RV)-focused apical four-chamber view. The primary endpoint was incident HF. Among 2740 participants (mean age 54 ± 17 years, 42% male), 43 (1.6%) developed HF during a median follow-up of 5.5 years (IQR 4.5–6.3). Both RVFWLS and RV4CLS were associated with an increased risk of incident HF during follow-up independent of age, sex, hypertension, diabetes, body mass index and tricuspid annular plane systolic excursion (TAPSE), (HR 1.06, 95%CI 1.00–1.11, P = 0.034, per 1% absolute decrease and HR 1.14, 95%CI 1.05–1.23, P = 0.001, per 1% absolute decrease, respectively). Left ventricular ejection fraction (LVEF) modified the association between RV4CLS and incident HF (P for interaction = 0.016) such that RV4CLS was only of prognostic importance among those with LVEF < 55% (HR 1.21, 95%CI 1.11–1.33, P < 0.001 vs. HR 0.94, 95%CI 0.80–1.10, P = 0.43 in patients with LVEF ≥ 55%). Conclusion In participants from the general population, both RVFWLS and RV4CLS were associated with a greater risk of incident HF independent of important baseline characteristics and TAPSE, and LVEF modified the relationship between RV4CLS and incident HF.