At Monza, the Briton sped past the all-time record for pole positions – 68 – formerly held by seven time world champion Schumacher.
“For everything he did for the sport and raising the bar, to be able to raise that bar once more is an honour,” said the Mercedes driver.
Schumacher has not been seen in public since his near-fatal skiing crash in late 2013, and almost nothing is known about the extent of his brain injuries.
Hamilton said at Monza: “I would love to speak to his wife and see how things are. Time will tell.”
Schumacher, whose 91 race wins and seven championships will still take some beating, set his pole record at Magny-Cours in France in July 2006.
Following the Italian GP qualifying, a message from the family was delivered to Hamilton by former Ferrari technical head Ross Brawn.
“They want to congratulate you on equaling Michael’s record and, as Michael always said, records are there to be beaten,” said Brawn, former Mercedes principal and now a managing director for Formula One.
Hamilton was clearly moved by both his achievement and the message.
“I think and pray for Michael all the time. I’ve had the privilege of racing with him and always admired him and still do,” he told the crowd after the qualifying.
“I‘m just honored to be up there with him now in the poles but he will still be one of the greatest of all time.”
Hamilton took over from Schumacher, who had retired from Ferrari in 2006 but returned with Mercedes in 2010, after joining from McLaren in 2013.