Moyo, who gained prominence in 2017 as the military general who declared the coup against then-president Robert Mugabeon television, died of complications related to the virus aged 61.
The southern African country has lost four state ministers so far.
Cabinet minister Ellen Gwaradzimba died from COVID-19 last week.
Opposition spokeswoman Fadzayi Mahere said she tested positive after being released from prison. The Movement for Democratic Change (MDC) spokeswoman was freed after seven days of detention on Monday for tweeting a video showing alleged police violence.
Several other cabinet ministers are reportedly fighting for their lives in a private hospital, according to unconfirmed local media reports.
“We are in a dark cloud that we have to clear very soon,” deputy Health Minister John Mangwiro told the German news agency dpa.
Outbreak takes toll on hospitals
The Health Ministry unveiled plans over the weekend to tighten the current lockdown, which has been in place since the beginning of January.
Restaurants, bars, gyms and other nonessential businesses are still closed. As part of measures to stem the virus, Zimbabwe had also enforced an evening curfew and deployed police to patrol the streets.
“We have seen people not adhering to the lockdown regulations announced early this month,” said Mangwiro.
Zimbabwe reported 30,523 COVID cases with 962 deaths on Saturday, according to the latest figures from the Johns Hopkins University.
The pandemic has strained the country’s health system. Health workers recently went on strike over a lack of protective equipment and low salaries.