Avnery says his job is to persuade fellow Israelis that doing nothing and allowing Israeli settlements to spread on occupied lands the Palestinians want for their state will lead to a catastrophe either an Israeli-ruled apartheid state with a disenfranchised Palestinian majority or a bi-national state with equal rights for all where Jews find themselves once again in a minority.
"I feel we are on the Titanic, sailing straight toward an iceberg," Avnery said in an interview on the eve of his 90th birthday last week.
"We have the chance to change the course any moment, but if we are stupid, if we go on sailing, we shall meet the iceberg, inevitably," he said, sitting in a rocking chair in his small apartment overlooking the Mediterranean and Tel Aviv's sparkling skyline.
Avnery's life has been rich in contradictions.
Born into a well-to-do bankers' family in Germany, he grew up poor in Tel Aviv after he and his parents left his native land following the rise of the Nazis in 1933. As a 10-year-old immigrant, he eagerly embraced Hebrew language and culture, hoping to eradicate what came before, but remains fluent in German and acknowledges also being shaped by the humanist traditions of pre-Nazi Germany.
Avnery is a member of Israel's founding generation, having fought in the 1948 war over its creation, and had the ear of prime ministers, even while shaking up the establishment with his tabloid weekly, Haolam Hazeh (This World), a mix of hard-hitting exposes, gossip and photos of nude women.
His unwavering convictions have won him respect from political rivals such as Geula Cohen, a long-time advocate of Jewish settlement in the West Bank, Gaza and east Jerusalem, lands captured by Israel in 1967 and sought by the Palestinians for a state.
"He is the political father of the (idea of) the Palestinian state," Cohen, 87, a former member of parliament, said of Avnery. "He is the first one who raised it politically. I don't accept his ideas, but I admire his strength to continue to fight for his ideas."
And even firebrand Cohen appears to have budged a bit in Avnery's direction, saying she could now countenance the idea of a Palestinian state, provided Jerusalem remains in Israeli hands.
Avnery came by his beliefs early on, saying that even as a young man in pre-state Palestine, during the period of the British Mandate, he was convinced that "the Arabs will never be satisfied with less than we are satisfied with, namely freedom and independence."
Last month, Israelis and Palestinians launched a third attempt since 2000 to reach a deal on the terms of a Palestinian state, but Avnery has low expectations. Israeli Prime Minister Benjamin Netanyahu is "a superficial person with superficial ideas," he said. "If he has any principles at all, it's the principle of ... covering Palestine with settlements."
Avnery is one of the few constants in Israel's "peace camp," increasingly fractured and politically sidelined since the 1990s when the Labor Party under then-Prime Minister Yitzhak Rabin led talks with the Palestinians on interim peace deals.
Peace efforts were slowed by Rabin's 1995 assassination and Netanyahu's first term as prime minister, but Avnery reserved his biggest scorn for Ehud Barak, who succeeded Netanyahu in 1999.
Avnery said Barak rushed into an ill-prepared U.S.-hosted peace summit in 2000, made an offer that while seen by many in Israel as generous fell short of what the Palestinians could accept, and upon his return claimed that Israel had no partner for peace.
"When this is said by the self-styled leader of the peace camp in Israel, it has a destructive effect, from which the peace camp has not recovered until today," he said, speaking English with a German accent.
Avnery acknowledged that Palestinian shooting and bombing attacks during the uprising that followed the failed summit created mistrust among Israelis, but stopped short of holding Palestinian leaders of the time responsible, blaming the violence on a lack of serious peace efforts.
For the past 20 years since Haolam Hazeh folded after a 40-year run, Avnery has taken his struggle to the streets, as founder of Gush Shalom, or "Peace Bloc," a group of several hundred activists.
The movement has staged hundreds of protests, often side by side with Palestinian activists.
Photos on the movement's website show Avnery after he was knocked to the ground by an Israeli water cannon at a West Bank protest, and ducking truncheon-wielding Israeli troops in east Jerusalem.
Avnery believes that a movement like Gush Shalom can turn the bigger wheel of Israeli public opinion. "We say what we think is right, and then we say it loud and clear, and then we drive bigger things," said Avnery, who writes a weekly column for the Gush Shalom website.
Over the years, he has also written several books, including two about the 1948 war, and collected peace prizes and awards, several from Germany. Some of the awards hang on the wall of his living room, next to books and a 1994 photo of him and Arafat in Gaza.
His birthday was Sept. 10, but his present to himself is a symposium he is arranging for next month on whether Israel will exist 90 years from now.
"It's a great question," he said. "I am the son of a long line of optimists, and I believe we should change course in time, before it is too late. But I am not sure."