Judges in Houthi-controlled areas have been on strike for four consecutive days over assaults on members of the judiciary in Sanaa.
Tehran issued an arrest warrant for US President Donald Trump in June for his role in Qassem Soleimani's death, and asked Interpol to enforce it. Interpol dismissed the request.
During the Marib Military Court session, the prosecution presented written evidence to support its cases against the 175 defendants.
The Houthis continue to use their illegitimate court to try to intimidate their opposition and confiscate the properties of prominent government leaders.
Marib Military Court has issued arrest warrants for Houthi chief Abdul Malik al-Houthi and 174 other members of the Iran-backed militia.
The two were found guilty over a July 2012 bus attack that killed five tourists, including a pregnant woman, and the Bulgarian bus driver.
The assailants shot dead seven people, including children, in the Shia-populated east during the commemoration of Ashura.
A UN-backed tribunal finds Hizbullah member Salim Ayyash guilty in absentia over the 2005 murder of the former Lebanese prime minister.
Customs director-general Badri Daher remains in detention as prosecutors build cases against those implicated in the Beirut port blast.
Judge Fadi Sawan will lead investigations into the explosion. Meanwhile, the remains of seven of the 10 firefighters who responded to the initial blaze have now been found.