A bench of Acting Chief Justice A K Sikri and Justice Rajiv Sahai Endlaw asked police to appraise it of its probe every fortnight by filing progress reports.
"Having regard to the seriousness of the case, the investigation is to be conducted by the Crime Branch of Delhi Police and the progress report to be filed fortnightly," the bench said.
The court passed the order after the Lokayukta's counsel pointed out that Balwani's son has recently sent a letter, written by his father before his death, to the corruption watchdog, in which the deceased had apprehended threat to his life.
Appearing before the bench, Delhi government's Standing Counsel Pawan Sharma told the court that Balwani's case is one of hit-and-run and an FIR was also lodged with the Vasant Kunj police station for it.
The issue of Balwani's death was mentioned when the court was hearing the Lokayukta's plea challenging a single judge