Ahmed Shihab-Eldin, a Kuwaiti-American, was held for several weeks after posting about the Iran war. Kuwait does not appear to have commented publicly on his case.
Mourners paid respects to Amal Khalil, who remained trapped under rubble for hours before emergency medics recovered her body.
Ahmed Shihab-Eldin, a Kuwaiti-American journalist, is expected to be released soon, after 52 days in detention, a lawyer for two of his family members said.
Lebanese officials say rescue teams came under fire while trying to aid Amal Khalil, a reporter for a Lebanese newspaper, and Zeinab Faraj, a photojournalist.
The country has not commented publicly about Ahmed Shihab-Eldin, who the Committee to Protect Journalists said had been charged with spreading false information.
Judges issued arrest warrants for Bashar al-Assad and six officials of his regime in Syria for an attack that killed two journalists, including Marie Colvin.
Journalists endure the same harrowing reality as other Gazans: hunger and the constant threat of death. Those challenges risk further stifling what the world hears about the war.
Five journalists, along with medical workers, were among the dead at Nasser Hospital. Prime Minister Benjamin Netanyahu said the military would investigate.
Saying that journalists in the territory, like many Gazans, are facing starvation, the groups urged Israel to allow more food in.
Saying that journalists in the territory, like many Gazans, are facing starvation, the groups urged Israel to allow more food in.