The group's directors decided to suspend the strike action from Monday, June 22, by 08:00am local time (07:00 GMT), the association said in a statement.
NARD said the decision, which followed the intervention by state governors and others, was to give the government time to fulfil the outstanding demands.
The organisation had called the strike over a range of issues, including the "grossly inadequate" provision of personal protective equipment (PPE) and calls for hazard pay for those working close to the virus.
Other demands focused on improving general welfare and protesting dismissals or pay cuts for doctors in two regions.
Strikes by medics are common in Nigeria, where the health sector has been underfunded for years.
The authorities fear that any reduction in capacity could severely hamper its ability to tackle the pandemic as the number of cases continues to rise.
The main nationwide doctors union briefly staged a warning strike in commercial hub Lagos over police harassment of its members.
According to a tally by Johns Hopkins University, Nigeria, Africa's most populous nation of 200 million inhabitants, has recorded 19,808 COVID-19 cases and 506 related deaths since the first case of the virus was reported in February.
More than 800 healthcare workers have been infected by the virus, according to the Nigeria Centre for Disease Control.