During his studies at the Hebrew University, he consulted to the Israeli Foreign Ministry on the reform of the United Nations and joined the Shalem Center as a doctoral fellow.

Between 2011 and 2016, he was head of the Political Science and Communication Department at the Jerusalem Haredi College (affiliated with Bar-Ilan University).

[8] Navon has been lecturing at Tel-Aviv University's School of Political Science, Government and International Relations and at the Abba Eban Graduate Program for Diplomacy Studies since 2002.

[10] In his 2006 policy paper for the Herzliya Conference, Navon described Israel's public diplomacy as "soft powerlessness" and warned about international de-legitimization campaigns.

[19] He has been interviewed or debated Israeli foreign policy with other figures in English media broadcasts such as on the Voice of America,[20] and Al-Jazeera.

His perspective has been quoted by the Knesset Channel,[33] the Army Radio,[34] Ynet,[35] the Israeli Broadcasting Corporation,[36] and The Jerusalem Post.

[54] In November 2012, RTBF journalist Eddy Caekelberghs cut short a live interview after Navon accused him of contributing to Hamas' propaganda.

[56] In July 2020, Navon clashed on Turkish TV channel ANews with a journalist who had claimed that the West Bank was stolen by Israel.

[72] He thinks that the preservation of Israel's Jewish and democratic character requires territorial changes but does not believe that an agreement can be reached with the Palestinians.

[77] In October 2016, Navon responded to Hagai El-Ad's call for Security Council action against Israel's presence in the West Bank.

[78] In 2020, Navon expressed his support for the Trump peace plan and for the extension of Israeli sovereignty to parts of the Israeli-occupied West Bank.

Navon rejects the claim that partial Israeli annexations beyond the "green line" are incompatible with international law and with a two-state solution.

"[80] During a debate on the Israel-Hamas war with Diana Buttu and Daniel Levy, moderated by Mehdi Hasan for Al-Jazeera's "Head-to-Head" program, Navon declared that "Israel is the only place in the Middle East where Arabs are free," that "Zionism is a national liberation movement that freed its land from Arab-Muslim colonialism," and that "Palestine is a British colonial invention.

[84][85] Navon is critical of post-Zionist and anti-Zionist Jews such as Peter Beinart, Mike Marqusee and Eitan Bronstein Aparicio.

While he does not oppose judicial review, Navon believes that its modus operandi in Israel has been shaped in a radical and unilateral manner and must be redrawn via a Basic Law supported by a large majority.

Navon also suggests formalizing political alliances via legislation to improve the correlation between the vote for a party and the choice of a prime minister.

Israeli historian Tom Segev wrote a critical review of the book in Ha'aretz, which created a controversy with Navon.

In his review, Segev accuses Navon of attributing more historical importance to Ze'ev Jabotinsky than to David Ben-Gurion; of misquoting Benny Morris' book Righteous Victims; and of welcoming the rise of far-right political parties in Europe.