During the address he said that Sharif eats home-made food in his air-conditioned jail cell that has a television in it too. His government will ensure that Mr Sharif does not receive such treatment in jail.
"Nawaz Sharif wants food from home in jail, he wants air conditioning in jail. But in a country where half the population has no air conditioning or TV, what kind of punishment this is?" said Imran Khan in a 50-minute speech televised by Samaa TV.
"I am going to go back and make sure there is no air conditioning or TV for Nawaz Sharif, who is a criminal. I know (PML-N leader) Maryam Bibi will make some noise, but I say to her, return the money. It's as simple as that," he can be heard saying.
He was addressing the Pakistani diaspora at Capital One Arena Stadium, which was attended by 30,000 Pakistanis.
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The 69-year-old former Prime Minister has been convicted in the Al Azizia Steel Mills case and sentenced to seven years in jail. He is serving the sentence in Lahore's Kot Lakhpat jail.
Continuing his attack against Nawaz Sharif, Pakistan's Prime Minister alleged that the PML-N leader was "propped up" by a military dictator.
"Nawaz Sharif was propped up by military dictator. Shahbaz Sharif was propped up because he was his brother." said Imran Khan.
Meanwhile, Khan is scheduled to meet US President Donald Trump at the White House. He will be accompanied by Pakistan Army chief and Lieutenant General Hameed.