The virtual court of Dhaka Metropolitan Magistrate Dhiman Chandra Mondol passed the order rejecting a bail petition filed by Kajol's counsel Barrister Jyotirmoy Barua.
He was shown arrested in the case on Tuesday.
The journalist had gone missing on March 10, a day after the case was filed by the Awami League's Magura-1 MP Saifuzzaman Shikhor.
Kajol and 30 others, including Manabzamin Editor Matiur Rahman Chowdhury, were accused in the case filed under the DSA over the publishing and sharing of a news article on social media regarding the expelled Jubo Mohila League leader Shamima Noor Papia.
Two other separate cases were filed against photojournalist Shafiqul Islam Kajol with Kamrangirchar and Hazaribagh police stations under the DSA on March 10, 11.
Kajol is yet to be shown arrested in the cases.
The bail hearing of the two cases will be held after showing him arrest in the case, said Jyotirmoy Barua.
After his 53-day disappearance, Kajol was detained by Border Guard Bangladesh (BGB) at the Benapole border in Jashore on May 3.
Detained on the charge of trespassing by BGB, Kajol was produced before Jashore court on May 3.
Although the court granted him bail in the case, he was sent to jail as Kotwali police brought another charge against Kajol under Section 54 of the Code of Criminal Procedure
Also read: Journalist Kajol lands in Jashore jail