It houses the holy bodhi tree as well as the giant Mahabodhi statue of Buddha, and multiple shrines marking the places where he is believed to have spent time after his enlightenment in 531 BC.
The complex attracts visitors from around the world during the peak tourist season from October to March.
After his meditations beneath the tree, Buddha is said to have devoted the rest of his life to teaching and he founded an order of monks before dying aged 80. Buddhists from all over the world visit the site in eastern Bihar state as it is believed to house the tree under which the Buddha reached enlightenment.
"The holy bodhi tree is safe and there is no damage to it," Bihar police chief Abhayanand told AFP.
Senior police official Ravinder Kumar said "six low-intensity serial blasts took place early this morning, including four in the temple premises and two outside".
A seventh bomb was found and defused near the temple's celebrated 80-feet-tall (24 metres) statue of the Buddha, Kuma