Kirk's legislation will fight illegal gun trafficking.
He asked permission of Cleopatra Cowley-Pendleton and Nathaniel Pendleton to name his bill after Hadiya, who he said died from "gang gunfire" and "senseless gun violence."
"I reiterated that one of my top priorities this year is to pass legislation that will dry up the supply of illegal weapons to dangerous drug gangs who are committing these senseless acts of violence," he said.
The teen's death quickly entered into national debates about gun control, and her parents were invited to attend the State of Union address Tuesday.
First lady Michelle Obama also attended Hadiya's funeral Saturday.
Michael Ward, 18, and Kenneth Williams, 20, have been charged in the killing of Hadiya. They were ordered held without bond Tuesday.