LONDON — Saying she was touched and humbled by “countless kindnesses” shown to her, Queen Elizabeth II wound up a spectacular and closely scripted four-day celebration of her 60 years as monarch on Tuesday, seeming buoyed by an outpouring of support that is likely to cement her family’s place in British society for years to come.

The queen, who is 86, completed the extravaganza with an address broadcast to the nation.

“The events that I have attended to mark my diamond jubilee have been a humbling experience,” she said in the address, which lasted less than two minutes and was recorded in advance. “It has touched me deeply to see so many thousands of families, neighbors and friends celebrating together in such a happy atmosphere.”

She added: “I hope that the memories of all this year’s happy events will brighten our lives for many years to come. I will continue to treasure and draw inspiration from the countless kindnesses shown to me in this country and throughout the Commonwealth,” she said, referring to the association of nations with historical links to Britain (mainly former colonies) that she formally heads....