"It was extraordinary. It was described as madness by many, and I think it's hard to describe it in any other way, " Mr Turnbull said.
Morrison, an ally of Turnbull, won a party-room ballot 45-40.
Energy Minister Josh Frydenberg will take on the post of deputy prime minister.
"I've had a lot of very angry constituents who believe that they had a right to decide who was the prime minister", he told the ABC.
His government was also upended by a freaky citizenship crisis that ruled 15 lawmakers ineligible for office for holding dual nationalities and it has trailed the opposition Labor party for 37 consecutive fortnightly opinion polls. And with senior ministers defecting, Turnbull's near three-year grip on power is tenuous despite surviving a snap ballot on his leadership on Tuesday, winning the vote 48-35.
Klopp not getting carried away after Liverpool's opening rout
If I can't go to you I can't close down and effect the ball, If I come to here and you can play around me you're in no man's land. That's the only thing I want to say. "We started the second half and they scored a clear offside goal".
However, Kefford said, Morrison is facing an uphill battle if he wants to retain his title through upcoming elections in May 2019.
Morrison outlined three key priorities for his government: "keeping our economy strong, keeping Australians safe and keeping Australians together".
He first took up a ministerial seat under former prime minister Tony Abbott, taking charge of immigration and delivering on his leader's election promise to "stop the boats", referring to a flux of immigration into Australia.
Former Prime Minister John Howard once described the Liberal Party as a "broad church".
A hardliner on social issues, Morrison was criticized by the United Nations in 2014 for insisting that the children of asylum seekers be detained while their residency claims were processed.
His resignation "means the new government will face a by-election for his Sydney seat that could see it lose its one-seat majority", according to Reuters.
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But he could shift the government's environment policy to the right as a consistent voter against the introduction of a carbon price.
It's the fourth time since 2010 that a prime minister has been voted out of the job by his or her own party.
Prior to the leadership coup, Mr Shorten told reporters: 'What we have seen here is the very brutal conduct of a campaign to tear down the leader of the Liberal Party in a most cold and unfeeling way, ' news.com.au reported.
Morrison has a reputation as a powerbroker within the Liberal Party whose support has been crucial to previous party leaders.
With Mr Turnbull set to leave politics, Mr Shorten has lost his biggest obstacle to becoming prime minister.
Morrison will therefore need to find a way to meet Australia's commitment to reduce emissions by 26 percent from 2005 levels by 2030 under the Paris accord without stoking old divisions, a challenge Turnbull said would be hard.
Mollie Tibbetts' slaying highlights safety concerns for women runners
However, it is still publicly unknown when, exactly, Tibbetts was killed and how well she knew her suspected murderer, if at all. Revelations from authorities that Bahena Rivera was undocumented led to immediate responses from GOP politicians.
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