Cameron said the preservation of the minster was “imperative”.
“Many of the windows are memorial windows to philanthropists, doctors, merchants of the city’s past, but also people who have lost their lives in war. We must preserve and respect them.”
The windows also serve a practical purpose.
“We’re coming up to this wet, windy, cold winter period. It’s important for a building as large as ours to remain weather tight.
“You see so many churches across the country failing now because of increased running costs and energy costs.
“We need to keep our church well insulated before winter, as it helps keep our bills down.”
The Rev Canon Dr Dominic Black, vicar of Hull Minster, said: “We’ve been overwhelmed by how the Hull community has rallied behind this appeal.
“Every contribution, large or small, brings us closer to seeing the light shine through that glass again.”
Listen to highlights from Hull and East Yorkshire on BBC Sounds, watch the latest episode of Look North.