Weber's fellow performers also tried to drive the animals away but could not until police arrived.
Weber suffered serious injuries, including severe trauma to the spine.
All the circus' eight tigers were impounded by police, triggering protests from animal welfare associations.
The attack has fuelling calls for a ban on the use of animals in circuses as parliament debates the issue.
The Anti-Vivisection League (LAV) called for the tigers involved in the attack not to be killed.
"Tigers must be saved … and placed in an environment suitable for their natural needs," LAV said in a statement.