Speaking at an event in Dhaka on Thursday, he said the Rapid Action Battalion is on the case.
"We hope ... I am hopeful about the solving the mystery."
On the morning of Feb 12, 2012, Maasranga Television News Editor Sagar and ATN Bangla Senior Reporter Runi were found stabbed to death in the bedroom of their apartment in Dhaka's Razabazar.
After the gruesome killings, which shook the nation, Runi’s brother started a murder case with the Sher-e-Bangla Nagar police.
Then home minister Shahara Khatun had promised to catch the culprits within 48 hours.
The Detective Branch was given the job to investigate the murder, but the court transferred it to RAB after the detectives failed to find any lead in two months.
But five years on, RAB is still fumbling in the dark over the killings.
The investigating officer, who failed to submit his report to the court even after extending the deadline 46 times, has been summoned by the court earlier this month.