The newspaper's police sources described the two young men being questioned as persons of interest. The 19- and 20-year-old men were pulled over early Sunday.
No charges had been filed against the two men, one of whom court files showed has a previous weapons conviction, the Tribune said.
A relative of Hadiya called the development a "good response."
Arresting those responsible "will bring a small level of closure to the family, although [the shooter] still will be allowed to eat, drink, mingle," family spokeswoman said Shatira Wilks. "The thing about that is, Hadiya is no longer to do so."
Hadiya, an honor student, was fatally shot and two other teenagers were wounded Jan. 29 in a park about a mile north of President Barack Obama's Kenwood home, eight days after she performed with the King College Prep band in Washington during Obama's inauguration festivities. Hadiya was not the shooter's target.