The trial began at the Ofer military court in the occupied West Bank, but was adjourned until October 22 after two witnesses testified.
Amro is the founder of Youth Against Settlements, a campaign group in the city of Hebron in the West Bank.
In June 2016, he was charged with 18 counts, some dating back to 2010, according to Amnesty International.
Speaking to reporters outside the court, the 37-year-old called the trial a "joke" and said he had no trust that Israel's military justice system would treat him fairly.
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An Israeli military spokesman has said evidence would be presented that Amro had "taken part in riots, attacks on soldiers, calls to violence, and prevented security forces from doing their work".
Two soldiers took the stand today and testified about a demonstration on February 26, 2016.
Amro and Fareed Al Atrash, another activist, are said to have "incited violence" in that demonstration.
"I think we proved it wasn't an illegal demonstration and it was not a violent demonstration, and incitement is not carrying slogans" critical of Israel's occupation, Lasky told reporters.
"If he is convicted, we will consider Issa Amro a prisoner of conscience," Amnesty's Magdalena Mughrabi said previously.