Wollescote Primary School, in Lye, Dudley, has closed to 433 students until November 30.
Headteacher Lynne Hudson said staffing shortages has left the school "unable to operate safely".
Pupils will be offered home learning support in the mean time.
Ms Hudson said: "The global Covid-19 pandemic continues to affect many aspects of our normal lives and our schools are sadly no exception.
"We have been working with Dudley Council to do all we can to keep our children in school but much like other schools across the country, we are having to temporarily close due to staffing shortages, which has left us unable to operate safely.
"We are working tirelessly and hope to open our school gates again on 30 November, in the meantime we are offering online education provision and home learning support.
"I want to thank our parents, carers and pupils for their collective efforts in supporting our school community at this challenging time.
"People can continue to protect themselves and their community and stop the spread by following the latest government instructions, detailed at www.gov.uk/coronavirus.
"Anyone facing a financial or food crisis who requires urgent support can call the covid-19 helpline on 0300 3302 152. People can also read about Dudley Council’s latest response to covid-19 at www.dudley.gov.uk/coronavirus."