Asthma is one of the world's most common chronic diseases in childhood, affecting 1.1 million children and 4.3 million adults in the UK.
Britain has some of the highest asthma rates in Europe, with three people dying from the condition each day, according to Asthma UK.
Dr Agnes Sonnenschein-van der Voort, lead researcher on the study, said: "It is clear from our research that there is a connection between babies gaining weight quickly in the first three months of life and the risk of them developing asthma later on.
"We are not sure exactly what causes this, but it may be that rapid weight gain leads to abnormal development of the lungs or the immune system. Further studies will be required to confirm these findings.
"We would recommend that GPs check a child's personal growth curve if they come to them with asthma-related symptoms and take this into account in their decision to start medication."
The research, which used data from the Children of the 90s study at the University of Bristol, analysed records for 9723 people.
Current asthma was reported for 13.9 per cent of those aged eight, 13.2 per cent at age 14 and 15.3 per cent at age 17.
Many factors are associated with an increased risk of asthma but the cause of the condition is still not known.
It is now widely accepted that events in early childhood could be critical for asthma development, with rate of foetal growth and low birth weight both associated with the condition.
The study is published in the Journal of Allergy and Clinical Immunology.
- PAA