Speaker Mike Johnson spoke on "Good Morning America" about the government shutdown, which took effect at 12:01 a.m. Wednesday, saying that Senate Minority Leader Chuck Schumer "wants to play games."

"We're pretty angry about it," Johnson said on Wednesday.

He said that Democrats want to "give health care to illegal aliens instead of keeping critical services provided for the American citizens."

The Democratic-backed spending bill that would have extended heath care subsidies under the Affordable Care Act and reversed cuts to Medicaid failed on Tuesday, along with the GOP-backed stopgap funding measure that would have kept the government funded for seven weeks.

Johnson also said that President Donald Trump gave Schumer and House Minority Leader Hakeem Jeffries "unlimited time" during their meeting earlier in the week to avoid the shutdown.

Johnson emphasized that the shutdown will create "real harm that the American people are going to feel."

The American Federation of Labor and Congress of Industrial Organizations blamed President Donald Trump for the nascent government shutdown in a Wednesday statement.

"The federal government is shutting down right now because President Trump and his administration chose chaos and pain over responsible governing," AFL-CIO President Liz Shuler said.

"Now, countless jobs, the essential government services we all rely on and the economy powered by our workforce are in jeopardy -- all because the administration wants to take one more swing at wrecking the Affordable Care Act and throwing working people off our health care," she added.

"The labor movement's message to the administration is clear: Get to work. Fund the government. Fix the health care crisis. Put working people first," Shuler wrote.

-ABC News' Beatrice Peterson

Military accounts on X notified users Wednesday morning of a hiatus in updates due to the government shutdown.

"There is a lapse of appropriations and there will be limited updates," the official Pentagon X account said.

U.S. Army Europe and Africa and U.S. European Command both posted similar statements.

Military pages directed users to a Pentagon webpage noting, "Military personnel will continue in a normal duty status, without pay, until such time as a continuing resolution or appropriations are passed by Congress and signed into law."

The federal government officially entered a shutdown at 12:01 a.m. Wednesday amid an impasse on Capitol Hill over competing congressional spending bills.

A Democratic-backed spending bill that would also extend health care subsidies under the Affordable Care Act and reverse cuts to Medicaid failed in a last-ditch vote on Tuesday.

A GOP-backed stopgap bill that would have funded the government for the next seven weeks also fell short of the needed 60 votes just hours ahead of the deadline.

President Donald Trump and Republicans have cast blame for the shutdown on Democrats' health care demands, while Democrats insist Republicans need to negotiate.

As the clock ticked toward a funding lapse, White House Office of Management and Budget told federal agencies to begin preparing their plans for an "orderly shutdown."

An estimated 750,000 federal workers could be furloughed each day the federal government remains closed, according to the Congressional Budget Office. While many workers deemed essential -- such as air traffic controllers, airport security officers and some members of the military -- will remain on the job, they will not be paid until after the shutdown ends.

The Trump administration has threatened mass layoffs of some federal workers during the shutdown.