The court also sought information about their income tax returns.
The bench of Justice Md Nazrul Islam Talukder and Justice KM Hafizul Alam passed the order after hearing a rule.
The four body guards are Mohammad Zahidul Islam, Mohammad Shahidul Islam, Kamal Hossain and Shamshad Hossain.
The accused filed bail petition with the High Court when a subordinate court rejected their bail plea on December 24.
On February 3, HC issued a rule seeking explanation as to why four bodyguards of GK Shamim should not be granted bail in the money laundering case.
Advocate Md Shamim Sardar stood for the accused while Deputy Attorney General Amin Uddin Manik represented the state.
Golam Kibria Shamim alias GK Shamim, who was known as an influential contractor of Sabujbagh, Basabo and Motijheel areas of the capital, was arrested on September 20, 2019.
Rapid Action Battalion (Rab) members seized illegal firearms and Fixed Deposit Receipts (FDRs) worth Tk 165 crore, Tk 1.8 crore in cash and foreign currencies from his house and office at Niketan.
The elite force filed three cases –- one under the narcotics control, one under the money-laundering prevention and the other under the arms acts -– against Shamim with Gulshan Police Station on September 21.
The four bodyguards of Shamim were shown arrested in a money-laundering case.