  Entanglement in bipartite systems has been applied for the generation of
secure random numbers, which are playing an important role in cryptography or
scientific numerical simulations. Here, we propose to use multipartite
entanglement distributed between trusted and untrusted parties for generating
randomness of arbitrary dimensional systems. We show that the distributed
structure of several parties leads to additional protection against possible
attacks by an eavesdropper, resulting in more secure randomness generated than
in the corresponding bipartite scenario. Especially, randomness can be
certified in the group of untrusted parties, even there is no randomness exists
in either of them individually. We prove that the necessary and sufficient
resource for quantum randomness in this scenario is multipartite quantum
steering when two measurement settings are performed on the untrusted parties.
However, the sufficiency no longer holds with more measurement settings.
Finally, we apply our analysis to some experimentally realized states and show
that more randomness can be extracted in comparison to the existing analysis.
