Forecasters were expecting the prolonged heatwave to continue with temperatures set to peak on Thursday and Friday.
The RAC said it is expecting breakdowns across the United Kingdom to be up around 15-20% on what they would normally expect for late July by the end of Thursday, adding that breakdowns are already up 25% in London.
The 33.3C high was recorded at Santon Downham in Suffolk, the Met Office said - and it is set to get hotter.
A respite from the heat could arrive with thunderstorms in eastern areas.
Monday was the hottest day so far of 2018 in the United Kingdom with a high of 33.3C recorded at Santon Downham in Suffolk.
There is also a 30% chance that the record for the hottest July day of 36.7C (98F), recorded at Heathrow in 2015, could be broken.
There is a chance the high temperatures could even beat the all-time United Kingdom record of 38.5C, with the hot weather set to continue into August.
The all-time record in the United Kingdom is 38.5degC at Faversham on August 10 2003.
The Met Office predicts that temepratures will hit at least 37C in parts of the United Kingdom during Friday.
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Friday could be the UK's hottest ever July day, with a high of 36C (96.8F) forecast for the south east - before thunderstorms provide slight relief from the scorching heatwave.
It states: "Temperatures are now expected to peak across eastern parts on Friday, with the chance of some exceptionally hot weather developing".
After weeks without rain there is a chance of flooding on Friday, with as much as 30mm expected to fall in just an hour.
Large hail and strong, gusty winds are additional hazards.
Experts at the Met Office have issued an amber heatwave alert as children across Kent start their summer holidays.
A Level 3 heat-health watch warning has been issued for a large part of England, in association with Public Health England.
MPs have warned heat-related deaths will treble by mid-century unless the Government takes action to tackle the dangers of soaring summer temperatures.
Almost all parts of the United Kingdom are seeing above average temperatures, but it will be hot or very hot towards the east or south east.