In the history of Israel, there were actually 3 temples in Jerusalem.
The 1st Temple was Solomon's temple.
We all know this temple. David was not allowed by God to build the temple also called the house of God. It was his son Solomon who built a magnificient temple in around the 10th century BC. The Temple stood until around 586 or 587BC when it was destroyed by King Nebuchanezzar of Babylon. They completely destroyed and ransacked all the precious goods stored in the Temple.
The 2nd Temple was Zerubbabel's temple.
Zerubbabel led the 1st group of Jews to return from the Babylonian captivity. The 2nd Temple was the rebuilding of the 1st Temple in 516BC about 70 years after the 1st Temple was destroyed. If you remember the books of Ezra and Nehemiah talks about rebuilding the walls of Jerusalem and the Temple. This 2nd Temple was destroyed by the Syrian invading King Antiochus Epiphanes in 168BC, who not only destroyed the Temple but slaughtered a sow (or a pig) on the altar of the temple. He was mocking Judaism and this was how the term "abomination of desolation" came about.
The 3rd Temple was Herod's temple.
Some do not call this a 3rd temple, because Herod built on or extended the Zerubbabel's temple. If you call it an extension, then you can rename this a continuation of the 2nd Temple. Herod actually made it more grand and more magnificient, such that the Jews including the disciples of Jesus take pride in the beauty and glamour of the facade and the building structure (Luke 21:5; Mark 13:1). It was built about 100 years after the tearing down of Zerubbabel's Temple by the Syrian army and the temple was completed in AD64. History told us that Herod employed skilled artisans and used more than 10,000 workers to create the spectacular edifices and grand architecture.
For those who like to read more you can check it out at:
1st Temple:
https://en.wikipedia.org/wiki/Solomon%27s_Temple
https://www.jewishvirtuallibrary.org/the-first-temple-solomon-s-temple
https://www.ancient-origins.net/ancient-places-asia/first-temple-crowning-achievement-king-solomon-and-home-legendary-ark-covenant-021683
http://www.templemount.org/solomon.html
https://www.youtube.com/watch?v=oiF-wObznds
2nd Temple:
https://en.wikipedia.org/wiki/Zerubbabel
https://bibleview.org/en/bible/prophets/templebuilt/
https://www.gotquestions.org/Zerubbabel-second-temple.html
https://www.bible-history.com/jewishtemple/JEWISH_TEMPLEZerubbabels_Temple.htm
https://www.biblestudytools.com/bible-study/topical-studies/zerubbabel-in-the-bible.html
3rd Temple:
http://www.jewishencyclopedia.com/articles/14304-temple-of-herod
https://www.jewishvirtuallibrary.org/the-second-temple
https://www.bible-history.com/jewishtemple/
https://www.biblicalarchaeology.org/daily/biblical-sites-places/temple-at-jerusalem/what-did-herods-temple-in-jerusalem-look-like/
https://www.youtube.com/watch?v=Ak9ldkm4md0
