It comes after the country reported its lowest daily growth in confirmed coronavirus infections in three weeks.
Health officials said there were 4,167 confirmed new cases and 619 deaths since Saturday.
In the UK, at least 10,612 people with coronavirus have already died, amid a warning by a member of the government's scientific advice committee the UK could end up being the "worst affected country in Europe".
Spain's total number of COVID-19 deaths is 16,972 and its number of confirmed cases - more than 166,000 - puts it behind only the US.
Workers in industry and construction will be able to return to work on Monday after a two-week shutdown closed all sectors apart from healthcare and food.
Shops will remain closed, apart from supermarkets, fruit stands, bakeries, butchers, news-stands and pharmacies.
Those who can work from home will be asked to continue this.
These rules are expected to remain into May
