According to Milton Keynes Council, one member of staff from Wyvern School, in Wolverton, recently tested positive for coronavirus, and a total of 50 students are currently self-isolating.
The students are expected to return at some point this week, according to the council.
A school spokesperson said: "We can confirm that a single member of staff has tested positive for Covid-19. We are following all government guidance including ensuring that some staff and pupils self-isolate at home."
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The school said it is working with Public Health England to monitor the situation.
Covid infections in MK show no sign of decreasing with 164 new cases and two new hospital deaths recorded over Saturday and Sunday.