Bristol, South Gloucestershire and Bath and North East Somerset will receive a combined total of £24m to tackle coronavirus.
Bristol City Council will receive £13.5m, while South Gloucestershire and Bath and North East Somerset will receive £6m and £4.6m respectively.
The three local authorities are among hundreds up and down the country to be given an emergency cash boost by central government in the fight against coronavirus.
The funding forms part of the £5bn Covid-19 fund announced in Rishi Sunak's budget earlier this month, before the current lockdown measures announced by Prime Minister Boris Johnson came into force.
In total local authorities across the country will receive £1.6bn to respond to coronavirus outbreak, which has forced schools, pubs, bars, restaurants and other businesses not selling essential items to close for an indefinite period of time to contain the spread of the disease.
When the government announced the £1.6bn funding package on Thursday March 19, the same day it released its emergency coronavirus bill, it said £1.3bn would be used to bolster the NHS discharge process to help patients who no longer need urgent hospital care back to their homes.
However, it has also said local authorities are best placed to understand the service pressures and spending needs of the area, "so this funding will not be ringfenced and can be allocated to Covid-19 pressures in whatever way individual authorities feel is appropriate to their pressures".
The emergency coronavirus bill, which is now law, will allow local authorities to prioritise their services to those most in need during the next few months - possibly more - of upheaval, and councils have warned that they will be stretched over this period.
It means that the legal duty on councils to provide social care to all who are eligible will be temporarily removed so it can concentrate its services on those most in need in the event of high demand and staff shortages caused by the pandemic.