The major study, funded by the Medical Research Council, used data from 186,000 people aged 55 to 73 years enrolled in the UK Biobank, who they followed for up to eight years.
The team found that those with longer-lived parents had lower incidence of multiple circulatory conditions including heart disease, heart failure, stroke, high blood pressure, high cholesterol levels and atrial fibrillation.
Although factors such as smoking, high alcohol consumption, low physical activity and obesity were important, the lifespan of parents was still predictive of disease onset even after accounting for these risks.
It follows on from research by Exeter published last year which found that offspring of longer-lived parents were more likely to have protective variants of genes linked to coronary artery disease, systolic blood pressure or body mass index.
Professor David Melzer, who led the research programme, said: "It's been unclear why some older people develop heart conditions in their 60s, while others only develop these conditions much later in life or even avoid them completely.
"Our research tells us that, while avoiding the well-known risk factors such as smoking is very important, there are also other factors inherited from parents.
"As we understand these parental factors better, we should be able to help more people to age well."
Professor George Kuchel, study co-author and director of the UConn Centre on Ageing at the University of Connecticut, in the US, added : "This study provides additional fuel to really bolster research efforts by us and others in Geroscience, a field that seeks to understand relationships between the biology of ageing and age-related diseases.
"Ageing is the most important risk factor for common chronic conditions such as heart disease, Alzheimer's and cancer, which are likely to share pathways with aging and therefore interventions designed to slow biological ageing processes may also delay the onset of disease and disability, thus expanding years of healthy and independent lives for our seniors."
The research, which was published in the Journal of the American College of Cardiology, also involved researchers from the University of Cambridge, the French National Institute of Health and the Indian Institute of Public Health.