The charity, named after Star Hobson, will raise awareness of child abuse and work with families.
The department was found to be inadequate following an inspection earlier this year.
The government wants to offer families more early support and better communication between agencies.
The Independent Office for Police Conduct looked at police contact with Star's family prior to her murder.
A coroner concludes there has been "sufficient public scrutiny" into the toddler's death.
Marium Haque says she is looking forward to leading Bradford Council's "improvement journey".
The police watchdog is to submit an "extensive" file to Bradford Coroner's Court.
A group of MPs writes to ministers following the deaths of Star Hobson and Arthur Labinjo-Hughes.
An inquest into the death of the murdered 16-month-old is adjourned until November.
