  Percolation transition (PT) means the formation of a macroscopic-scale large
cluster, which exhibits a continuous transition. However, when the growth of
large clusters is globally suppressed, the type of PT is changed to a
discontinuous transition for random networks. A question arises as to whether
the type of PT is also changed for scale-free (SF) network, because the
existence of hubs incites the formation of a giant cluster. Here, we apply a
global suppression rule to the static model for SF networks, and investigate
properties of the PT. We find that even for SF networks with the degree
exponent $2 < \lambda <3$, a hybrid PT occurs at a finite transition point
$t_c$, which we can control by the suppression strength. The order parameter
jumps at $t_c^-$ and exhibits a critical behavior at $t_c^+$.
