It's thought that there are only around 150 of the creatures - a rare type of Bengal tiger - left in the wild.
The arrival of the brother and sister - called Khan and Charu - marks the first time the creatures have been born in captivity in the UK.
The cubs were born at the end of May, but they've only just made their public debut at the park in Bewdley.
Their mum, Tikva, wasn't able to feed them herself, so the keepers took it in turns to hand-rear them.
Tikva and the cubs' dad Tahaas have lived at the safari park since 1998.
The cubs now weigh a healthy nine kilos and are eating solid foods.