Unions say there have been 20,000 job losses in the country since a Supreme Court ruling on 17 July which made it easier for companies to sack employees.
The ruling allows employers to fire any worker without any benefits as long as they are given three months' notice.
The Zimbabwe Federation of Trade Unions has described the ruling as "madness".
ZBC will close a TV channel, according to the Zimbabwean news site the Daily News.
In addition, the offices of the state radio station Voice of Zimbabwe have also closed, reports Voice of America.
Last week the Daily News reported that state-owned newspapers had fired hundreds of workers.
This, it added, was despite the state-owned media "leading a crusade against scores of other companies, including media organizations", that have laid off staff.
Local media reported that over the weekend heavily armed police blocked the country's main workers' union from protesting against the recent wave of job losses.

The union Unite said all but two of 75 "operatives" based at the Port of Grangemouth had voted for action in a ballot.
The workers include crane drivers and loaders.
It is understood that about 20 engineers who are also based at the site are not involved in the action.
The strike is due to start at 00:01 on Tuesday.
Unite said the action had been called after port owner Forth Ports announced changes to shifts.
The union said the new rotas, which affect night shifts and weekend work, amounted to "a de facto pay cut".
Forth Ports has yet to comment on the action.
A Unite official said: "We are ready and prepared to negotiate with management."
Grangemouth currently handles more than 150,000 containers annually, with daily sailings to Rotterdam, Antwerp, Felixstowe and Hamburg.

Sutton, who can play at centre-half or full-back, has made 25 appearances for Rovers this season.
The 29-year-old joined the club last July following his release by League Two side Mansfield Town.
Barrow are currently 17th in the National League table, six points above the relegation zone.
The state-owned Zimbabwe Broadcasting Corporation (ZBC) has fired almost 300 employees, including managers and journalists, state-run media report.
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Workers at Scotland's largest container port are to begin a two-week strike on Tuesday in a dispute over rotas and pay.
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Barrow have signed versatile defender Ritchie Sutton on loan from National League rivals Tranmere Rovers until the end of the season.