Rabbi Adin Even Yisrael Steinsaltz has been elected nasi of the new Sanhedrin.
But, there's more:
Semicha - original rabbinic ordination - was successfully reintroduced when hundreds of Israel's greatest rabbis agreed on the worthiness of a certain rabbi to receive it. This was also agreed upon by leading Sephardic and Ashkenazic spiritual leaders Rabbi Ovadia Yosef and Rabbi Shalom Elyashiv. The committee who oversaw the process made every effort to fulfill the Jewish legal requirements as outlined by Maimonides, as closely as possible.
The rabbi himself eventually backed down from serving as Nassi of the Sanhedrin due to pressure from a leading Hassidic rabbi, but not before granting semicha to Rabbi Dov Levanoni. At the age of 83, the sage is above the age limit to head the Sanhedrin, though. He accepted the semikha in order to ordain one who is fitting to renew the Sanhedrin. It is he who ordained Rabbi Tzvi Idan who, as its first temporary Nassi, ordained the members of the Sanhedrin in Tiberias, October 13, 2004.… Also present, though not seated around 71-seat semi-circular row of chairs was famed archaeologist Dr. Vendyl [i.e., Indiana – Shmarya] Jones, who is working with the Sanhedrin to establish a system of courts for non-Jews adhering to the Seven Laws of Noah, which are obligatory upon all of humanity. One of those laws is to establish courts of justice. A high court has been established by the Sanhedrin for such purposes and a subsidiary of that court will soon be established in the United States as well.
Among the many topics the Sanhedrin intends to address are the bridging of the divisions between various communities of Jewish exiles who have returned to Israel; the establishment of authentic techeilet, the biblical blue thread Jews are commanded to wear amongst the fringes attached to four-cornered garments; the definition of the measurement of the "ammah" (the biblical "cubit"); the determination of the exact point of human death, so as to deal with the Jewish ethics of euthanasia; and the issue of agunot - women whose husbands refuse to grant them a divorce.
One more thing – the Sanhedrin has a website.