Leader of the council Gavin Callaghan said although some people refused offers or did not respond to calls, there was accommodation available for all.
"By this morning our staff had accommodated 16 of the 20 people sleeping rough who are known to us, and we are waiting to hear back from the other four in order to get them into the accommodation we have for them," he said.
"Basildon Council is taking unprecedented action to keep people healthy because our number one goal right now is to save as many people’s lives as possible."
It brings the total number of deaths in the East region since the outbreak began to 100.
Nick Hulme, chief executive of East Suffolk and North Essex NHS Foundation Trust which runs Colchester and Ipswich hospitals, said: "We can confirm that sadly, three patients, one in their 90s and one in their 70s, both of whom had underlying health conditions, together with another patient in their early 80s who did not have underlying health conditions, have passed away at Colchester Hospital.
"They had tested positive for COVID-19.
"Our thoughts and condolences remain with the patients family and loved ones at this difficult time."
Less traffic on roads
The number of vehicles on Essex's roads has decreased by over 50% according to the county council.
Traffic data from local authority showed that since the government's announcement over a week ago to "stay at home" residents were adhering to the advice.
Councilllor Kevin Bentley, cabinet member for infrastructure, said: "While it’s
great to see such a reduction in travel, it’s critical that this continues to
decrease, and that residents stay at home.
"Let’s not forget that in Italy and
Spain the restrictions were much more stringent, with permits required to leave
home and a ban on exercise outside the home."
The government says valid reasons for leaving home are:
Shopping for basic necessities, for example food and medicine, which must be as infrequent as possible
One form of exercise a day - for example a run, walk, or cycle - alone or with members of your household only
Any medical need, or to provide care or to help a vulnerable person
Travelling to and from work, but only where this absolutely cannot be done from home
Coronavirus cases continue to rise
The number of coronavirus cases for the east of England were released by Public Health England on Monday evening.
Here is latest breakdown confirmed from hospital tests:.
Bedford Borough 34
Central Bedfordshire 60
Milton Keynes 94
'Big thank you' to Essex catering company
Roger Hirst, the Police, Fire and Crime Commissioner for Essex and the county council have thanked a catering company for "an incredible act of kindness".
Staff on a hospital ward wanted to send out a "powerful message" to stop the spread of coronavirus.
Co-op to stop accepting loyalty card and handing out charity tokens
The East of England Co-operative have announced a series of changes to how they operate their food stores to help stop the spread of the coronavirus.
The group, based in Ipswich and with stores across Essex, Suffolk and Norfolk said it would be no longer accepting member reward cards to avoid handling them, but advised customers to keep receipts to add the points at a later date.
Stores will also no longer hand out green tokens, which go in the charity-of-your-choice boxes.
In line with many other supermarket the Co-op will also be installing screens at checkouts and have signs on the floor to keep shoppers 2m (6ft 6in) apart.
English Heritage open up sites online
BBC Local Live
If you're missing being able to get out and about to some of the region's interesting historic sites, then English Heritage can bring some of them to you - online.
It has highlighted 30 of its buildings,
monuments and sites across the country available to visit online - including a few in the East of England.
Last week, the organisation took the decision to close all its staffed historic sites and cancel all public events.
Curatorial director Anna Eavis said: "We look forward to welcoming visitors back to those sites as soon as it is safe to do so, but until then we hope these online experiences will allow people an escape, and the chance to learn something new."
Severe disruption: A127 Essex both ways
BBC News Travel
A127 Essex both ways severe disruption, from High Road North to A132 East Mayne.
A127 Essex - A127 Southend Arterial Road in Laindon closed in both directions from Fortune Of War to Nevendon, because of resurfacing work.
To report traffic and travel incidents dial 0330 123 0184 at any time
Food package deliveries for vulnerable people
Vulnerable people in Essex are to receive food packages, delivered to their homes.
It comes after recent government advice that those at most risk of serious illness from Covid-19 should stay at home for 12 weeks.
Supermarkets, delivery companies and volunteers are all helping to get essential supplies to the residents at most risk.
Max Whitlock uses social media to share home exercise routines to do while gyms are closed.
Cheers all round as the East says thanks to NHS
There was clapping, cheering, pots clanging and car horns honking as people across the East of England gave their thanks to the NHS.
Many people took part in the social media campaign on Thursday night, where people across the UK applauded the work of the health service treating coronavirus patients.
'Thank you NHS'
Oscar's been using his time off to create a masterpiece thanking the NHS for all their hard work.
The ambulance service were definitely impressed by his artistic talent.