Quince fruit has many benefits to human health and is excellent source of bioactive compounds. The fruit of 15 quince genotypes stored at 2 °C for 5 mo to study fruit quality changes during cold storage. Fruit were sampled monthly and stored at 20 °C for 24 h. Fruit ascorbic acid (AA), total phenol (TP), and total flavonoid (TF) concentrations, total antioxidant activity (TAA), flesh browning (FB) incidence, polyphenol oxidase (PPO), peroxidase (POX), and superoxide dismutase (SOD) activities were measured during storage. A high variation in bioactive compounds was observed across genotypes. The range of 26.8 to 44.4 mg/100 g FW for AA, 86.7% to 98.2% for TAA, 157.7 to 380.7 mg GAE 100−1 g FW for TP, and 5.3 to 10.7 mg/100 g FW for TF were observed across genotypes at harvest time. The overall AA, TAA, TP, TF, and SOD decreased while PPO and POX increased during storage. FB was first observed after 4 mo and increased thereafter while the FB index was different across genotypes. Higher bioactive content may prevent or reduce FB index so that a negative correlation was found between FB and AA, TAA, TP, TF, and SOD.