They are an easygoing and dignified breed, not as active and playful as many but sweet-natured and devoted to their owners, making them a favourite of animal trainers. They tend to be safe around other pets and children since they will tolerate a fair amount of physical interaction, but as a rule do not like to be picked up or carried. They require only minimal grooming and take well to being kept as indoor-only cats; however, they can be prone to obesity unless care is taken with their diet.

The UK breed committee considers the British Shorthair a long-lived cat, with a life expectancy of 14–20 years. Vet clinic data from England shows a median lifespan of 11.8 years. Swedish insurance data puts the median lifespan of the breed at >12.5 years. 82% of British Shorthairs lived to 10 years or more and 54% lived to 12.5 years or more.

Hypertrophic cardiomyopathy (HCM) can be a problem in the breed. A Danish prevalence study with more than 329 cats showed that 20.4% of males and 2.1% of the females had HCM. On top of this 6.4% of males and 3.5% of females were judged to be equivocal. HCM testing of males used for breeding is now mandatory for breeders organized under the Danish Fife member, Felis Danica.

The breed is thought to be at high risk of polycystic kidney disease (PKD). A DNA test lab has noted a significant decrease of the PKD mutations in tested populations. Carrier frequency is now at 1%.