We see this verse in Daniel 9:27 (KJV)
"27 And he shall confirm the covenant with many for one week: and in the midst of the week he shall cause the sacrifice and the oblation to cease, and for the overspreading of abominations he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate."
Christ refers to it in Matthew 24:15(KJV)
"15 When ye therefore shall see the abomination of desolation, spoken of by Daniel the prophet, stand in the holy place, (whoso readeth, let him understand
"
The Jewish Rabbis have pushed the view that it was when in 167 B.C. a Greek ruler by the name of Antiochus Epiphanies set up an altar to Zeus over the altar of burnt offerings in the Jewish temple in Jerusalem. He also sacrificed a pig on the altar in the Temple in Jerusalem.
But it doesn't fit, as Jesus declared it looking forward in time, not backwards, and the Jewish nation continued along with the sacrifices as we see at the beginning of Matthew 24 as Jesus was telling the disciples what was going to happen:
Matthew 24 King James Version (KJV)1 And Jesus went out, and departed from the temple: and his disciples came to him for to shew him the buildings of the temple.
2 And Jesus said unto them, See ye not all these things? verily I say unto you, There shall not be left here one stone upon another, that shall not be thrown down.
3 And as he sat upon the mount of Olives, the disciples came unto him privately, saying, Tell us, when shall these things be? and what shall be the sign of thy coming, and of the end of the world?
So lets start with what was this desolation that would befall them?
desolation
"27 And he shall confirm the covenant with many for one week: and in the midst of the week he shall cause the sacrifice and the oblation to cease, and for the overspreading of abominations he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate."
Christ refers to it in Matthew 24:15(KJV)
"15 When ye therefore shall see the abomination of desolation, spoken of by Daniel the prophet, stand in the holy place, (whoso readeth, let him understand

The Jewish Rabbis have pushed the view that it was when in 167 B.C. a Greek ruler by the name of Antiochus Epiphanies set up an altar to Zeus over the altar of burnt offerings in the Jewish temple in Jerusalem. He also sacrificed a pig on the altar in the Temple in Jerusalem.
But it doesn't fit, as Jesus declared it looking forward in time, not backwards, and the Jewish nation continued along with the sacrifices as we see at the beginning of Matthew 24 as Jesus was telling the disciples what was going to happen:
Matthew 24 King James Version (KJV)1 And Jesus went out, and departed from the temple: and his disciples came to him for to shew him the buildings of the temple.
2 And Jesus said unto them, See ye not all these things? verily I say unto you, There shall not be left here one stone upon another, that shall not be thrown down.
3 And as he sat upon the mount of Olives, the disciples came unto him privately, saying, Tell us, when shall these things be? and what shall be the sign of thy coming, and of the end of the world?
So lets start with what was this desolation that would befall them?
desolation
- a state of complete emptiness or destruction.
"the stony desolation of the desert"
synonyms: barrenness, bleakness, starkness, bareness, dismalness, grimness; Morearidity, sterility;
wildness;
isolation, solitude, solitariness, loneliness, remoteness
"the arid, stony desolation of the Gobi desert"
antonyms: fertility
- anguished misery or loneliness.
"in choked desolation, she watched him leave"
synonyms: misery, sadness, unhappiness, melancholy, gloom, gloominess, glumness, despondency, sorrow, depression, grief, mournfulness, woe; More
- anguished misery or loneliness.