If you're asking about the Holy Temple in Jerusalem, according to our tradition there were two decrees. The first, by King Cyrus of Persia, was an invitation (a permission), not an order; and it was given in 370 BCE. The second decree was by the prophet Haggai, in the year 352 BCE.
This is a sentence, not a question. If you meant to ask "Did the Israelites return and rebuild the temple?" or you meant to ask "Will the Israelites return and rebuild the temple?", see the two Related Questions below.
Jesus did not rebuild the temple.
Ezra was to rebuild the destroyed temple.
Yes. In 539 BCE, King Cyrus the Great of Persia gave permission for the Jews of Babylon to return to their ancestral homeland and rebuild the Temple.
It is very unlikely that the government of Israel will ever rebuild the temple. There is a Muslim holy site on the Temple Mount. Furthermore, the Israeli government is not a religious government. Moreover, Orthodox Jews believe the Temple cannot be rebuilt until the messiah comes.
it was upheld by cyrus
Haggai and Zachariah
He didn't rebuild a temple. He allowed the Hebrew aristocracy, which had been exiled to Babylon, the option of returning to Judah to try to reclaim their estates. Those who chose to do so were permitted to rebuild the temple of Jehovah at Jerusalem which had been demolished by the Babylonians after a the failed revilt which had got them exiled in the first place.
Cyrus the Great.
The neighboring peoples harassed them.
The tradition is that it was Cyrus the Great, king of Persia. Additionally: King Cyrus of Persia made a decree allowing the Jewish exiles to return to Jerusalem to rebuild the Temple. The construction of the Temple continued under King Darius and was completed in 516 BCE. (Ezra 6:15).
The Golden Temple was never destroyed, it just suffered heavy damaged in the early 1700's, so it was rebuild in 1764.