Detective Superintendent Neil Esseen, of Lancashire Constabulary's Force Major Investigation Team, welcomed Stuart Hall's jail sentence, saying he hopes it will "help the victims in this case move forward with their lives".
He commended Hall's victims for "having the courage to come forward".
The officer said: "We are committed to investigating any allegations of sexually abuse thoroughly and with sensitivity, no matter how long ago they happened and we will always strive to protect our communities, no matter the status of the alleged perpetrator.
"I would encourage people with any information about sexual abuse or who has been a victim of sexual abuse to come forward and report their concerns confident in the knowledge it will be taken seriously and investigated appropriately and with sensitivity".
One of Stuart Hall's victims exclusively told ITV News "justice has not been done" after the broadcaster was sentenced to 15 months in jail.
Stuart Hall has been jailed for 15 months after admitting 14 counts of indecent assault, relating to 13 girls aged between nine and 17.
Veteran BBC broadcaster Stuart Hall was accused of being a child abuse "predator" today after he admitted indecently assaulting 13 girls.