The Soyuz capsule was installed at the church at the beginning of August with an appearance from Peake himself to launch the free exhibition.
Year on year figures show a 600 per cent increase in the number of visitors.
Along with the spaceship, the parachute which brought it back along with Peake's space suit are also on display. Visitors also have access to a virtual reality experience on life on the Soyuz.
With the display staying until November, thousands more are expected to visit in the coming weeks.
Speaking to Peterboroughtoday.co.uk, Vice Dean Canon Tim Alban Jones, said: "We have been delighted by the phenomenal visitor response to Tim Peake's Spacecraft exhibition.
"Most visitors are seeing the capsule and the cathedral for the first time, and it's wonderful to see their reaction to both."
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