Mr. Moore said he was upset that the Fire Department had not entered the zone to help with the man who died. Fire Department officials said they had been following procedure
The second shooting occurred late Sunday night. A 17-year-old boy who was shot was treated at Harborview Medical Center and released, a spokeswoman for the hospital said.
No suspects have been publicly identified in the cases, and the Police Department said it was looking for witnesses to help piece together what happened.
Teri McClain, who was at the protest zone on Monday, said the zone had given people a place to have a platform and to mobilize. But given the latest violence, she said, she would not object if the protest came to an end. She said she was hopeful that the people who gathered there were ready to continue taking action in other ways.
Part of the challenge, Ms. McClain said, was that there are various groups and interests in the zone. Some of those there are simply homeless, or are there to party or cause trouble, she said, and the ones who are there for social justice reasons have different goals and agendas.
“You can’t walk in here and say, ‘Excuse me, where’s the office of the person in charge?’” Ms. McClain said. “There’s all these different groups working on different things in different places.”
Along with Black Lives Matter activists, the zone has included a variety of people talking about larger social issues. Kshama Sawant, a member of the City Council, led protesters in a demonstration calling for new taxes on Amazon, which is headquartered in the city.