Background and objective Patients with young-onset Parkinson’s disease (YOPD) have a slower progression. Our aim was to analyze the change in cognitive function in YOPD compared to patients with a later onset and controls. Patients and methods Patients with Parkinson’s disease (PD) and controls from the COPPADIS cohort were included. Cognitive function was assessed with the Parkinson’s Disease Cognitive Rating Scale (PD-CRS) at baseline (V0), 2-year ± 1 month (V2y), and 4-year ± 3 months follow-up (V4y). Regarding age from symptoms onset, patients were classified as YOPD (< 50 years) or non-YOPD (≥ 50). A score in the PD-CRS < 81 was defined as cognitive impairment (CI): ≤ 64 dementia; 65–80 mild cognitive impairment (MCI). Results One-hundred and twenty-four YOPD (50.7 ± 7.9 years; 66.1% males), 234 non-YOPD (67.8 ± 7.8 years; 59.3% males) patients, and 205 controls (61 ± 8.3 years; 49.5% males) were included. The score on the PD-CRS and its subscore domains was higher at all visits in YOPD compared to non-YOPD patients and to controls ( p  < 0.0001 in all analysis), but no differences were detected between YOPD patients and controls. Only non-YOPD patients had significant impairment in their cognitive function from V0 to V4y ( p  < 0.0001). At V4y, the frequency of dementia and MCI was 5% and 10% in YOPD compared to 25.2% and 22.3% in non-YOPD patients ( p  < 0.0001). A lower score on the Parkinson’s Disease Sleep Scale at baseline was a predictor of CI at V4y in YOPD patients (Adjusted R 2  = 0.61; OR = 0.965; p  = 0.029). Conclusion Cognitive dysfunction progressed more slowly in YOPD than in non-YOPD patients.