So, what does the evidence show?
The peak that year was 35.6C. That has already been beaten by the current temperatures and on Tuesday it could go as high as 41C.
The heatwave of 1976 started in June and lasted for two months. There was a lack of rainfall and a significant drought, with the government enforcing water rationing.
The heatwave was rare for that decade. The average maximum temperature in July in the 1970s was 18.7C. In the 2010s, it was more than 20C.
The UK has been slowly getting warmer since the 19th Century, and this has sped up. In the past three decades the country has become 0.9C warmer on average, according to the UK State of the Climate report in 2020.
Nine out of ten of the hottest days ever recorded in the UK have been since 1990, according to the Met Office.
1976 ranks 12th in the list of the hottest UK days on record (some of these, not shown in the chart above, have occurred in the same year).
"1976 was indeed a heatwave and we have had heatwaves before, but the point is they're happening more often and they're becoming more intense," says Prof Hannah Cloke, a climate scientist at the University of Reading.
There is also the scale of the heatwaves to consider, when comparing temperatures to those in 1976.
That summer, the UK and France were among a handful of countries experiencing high temperatures.
But if you look at the heat maps (produced by NASA) for June 2022, it shows many more countries affected.
"We can easily see how much warmer the global climate has become - with very few areas actually colder than normal," says BBC Weather presenter, Matt Taylor.
Suggestions that there is nothing unusual about this heatwave appear to have found a willing audience among climate change sceptics.
Hundreds of people have shared their experiences of the 1976 heatwave on social media, with some making the misleading suggestion that the current heatwave is "no different".
Others have accused the Met Office and the media of spreading "alarmism" and "hysteria". Some have suggested people need to "toughen up", describing those complaining about the heat as "snowflakes".
But even in the 1976 heatwave - which saw lower temperatures - excess deaths in parts of the country were up 30%.
Last week, the UK Health Security Agency issued its highest level four heat alert, warning illness and death could occur "among the fit and healthy".
The comparison with the 1976 heatwave has also proven popular among users sharing conspiracy theories - including unfounded claims that a "climate lockdown" is about to be imposed.
The Met Office estimates that this heatwave has been made ten times more likely because of climate change.
The overwhelming majority of scientists agree greenhouse gases - which trap the sun's heat - are causing a rise in global temperatures and climate change.
This has brought more extreme weather. Periods of intense heat do occur within natural weather patterns, but they are becoming more frequent around the world, more intense and are lasting longer as a result of global warming.
"We should expect more and longer heatwaves in the future," says Prof Nigel Arnell, a climate scientist at Reading University.