Tomb of Rabbi Meir
Above the synagogue in Tiberias-Hammat (this is not accessible from the archeological park) is the domed tomb of the legendary Rabbi Meir (second century), which is in two parts, one Ashkenazi and the other Sephardi.
It was closed when I tried to visit.
Tiberias: Capital of the Galilee
This is a remnant of the black basalt wall that once surrounded Tiberias - Tveriya in Hebrew. The old city sits on the shores of Lake Kinneret ( also known as the Sea of Galilee) and the new city is on the hillside.
Tiberias has been known since antiquity for its hot mineral springs. It was built by Herod Antipas in 20 CE and named for Tiberius, the emperor of Rome.
Tiberias was once home to great academies of Jewish learning. It also has religious significance for Christians - Jesus performed his miracles on the Sea of Galilee. The city was demolished in an earthquake in 1837.
Today Tiberias is a magnet for pilgrims, Jewish and Christian, and a popular vacation spot. The weather in the summer can be very hot and muggy, but you can always dip in the Kinneret to cool off.