The decision supports decisions by the Commonwealth and Queensland governments to mitigate the spread of COVID-19.
Seqwater has also cancelled any planned events at its recreation facilities until further notice.
Seqwater manages recreation facilities at dams, lakes and parks such as Lake Somerset and Enoggera Reservoir, that provide more than 50 per cent of the green space in south-east Queensland outside of national parks. More than 2.6 million people visit Seqwater recreation sites each year.
Seqwater CEO Neil Brennan said the recreation closures were needed to best protect staff safety and public health.