Thames Valley also issued a joint statement with South East Water, Southern Water and Affinity Water, which urged customers to use as little water as possible "while things get back to normal".
"Where possible, take short showers rather than baths, do not leave taps running unnecessarily and only run washing machines and dish washers when you have a full load", the company stated on its website.
Steve added: "We were prepared for the poor weather when it swept in and have also been planning for the thaw and the bursts we knew it would inevitably cause".
They urged those who still had access to avoid all but essential water use.
Thousands of people have now faced 48 hours without water, after a thaw resulted in multiple burst pipes across the region.
Others have rallied to help their neighbours, offering to collect water for elderly or disabled people.
"You don't realise until something like this happens how much you actually need it".
Thames Water distribute water to locals whose main water supply was cut off in Balham, south London.
It is estimated 5,000 homes in the county have had their supply cut off following the extreme changes in temperature. "We have a team in the area investigating and we hope to fix it as soon as possible", they tweeted.
"The thaw has seen our teams called out to an unprecedented number of leaks on our pipes in the Rugby and Southam areas which has put pressure on the network and meant some customers experienced low pressure or periodic interruptions to supply during Sunday evening".
Industry regulator Ofwat has criticised water companies for failing to plan for colder weather and ignoring warnings.
London's water collection points are located at Hampstead No 1 Pond Car Park in North London, and the Homebase on Woodgate Drive, Streatham Vale.
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