In the footage, Hilton is seen accusing one of the officers of groping his genitals.
Tesauro above said Hilton returned to the house at least four times in the weeks following him making the tape.
He wept in court as the sentence was read out.
Hunter has moved on from Conrad and has been in a relationship for three years.
The youngest of the Hilton siblings has had his fair share of legal drama, and in March pleaded guilty to misdemeanour assault.
Police also say that Hilton used the n-word.
He then uses a gay slur to refer to the officer.
The video shows blank-eyed Hilton, 23, appearing to be in an almost psychotic state rambling in a low monotone about how badly he wants to reunite with ex-girlfriend Hunter Daily Salomon.