Officers carried out 37 raids after a surge in reports of the crime during lockdown.
32 people were arrested following the warrants during May - 9 of them were in Oxfordshire.
Thames Valley Police and the South East Regional Organised Crime Unit have since arrested an extra four people from Oxfordshire on suspicion of making arranging to meet children for sexual activity.
A total of 419 devices, like laptops, phones and game consoles, were seized during the raids and officers safeguarded 24 children.
TVP has only just released the details of the operation.
Reports of online child sex abuse in the Thames Valley in March were 146% higher than during the same month in 2019.
The Force says lockdown has had an impact as more kids at are home and using electronic devices.
(1/2) Thames Valley Police have executed 37 warrants, arrested 32 people and safeguarded 24 children throughout May in a bid to tackle those sexually abusing children online.— Thames Valley Police (@ThamesVP) June 8, 2020
A further 4 arrests were made with @SouthEastROCU
Find out more at https://t.co/oVzzdykirq pic.twitter.com/ifoh0TVedm
DCI Matt Darnell, from the Protecting Vulnerable People Unit, said: "Sadly, we believe that criminals have looked to exploit the fact that more children have been at home and online, and as such there has been a large increase in the number of reports we've received about online child sexual abuse.
"Thames Valley Police routinely carries out warrants such as these and they are business as usual for us. However, we want to ensure that a clear message is being sent to those that look to exploit children.
"This is not acceptable - it is a very serious crime and you will get caught. These warrants show that we are constantly monitoring the intelligence we receive about these offences, and that we will come to your home, investigate, seize your devices and arrest you if necessary.
"I am really pleased that the activity we have carried out has resulted in so many children being safeguarded and that we have made a large number of arrests.
"This activity is not a one-off. We will continue to carry out warrants like this as we seek to bring to justice those who commit this type of offence."
Online sexual abuse is any type of sexual abuse that happens on the internet, whether through social networks, online gaming or using mobile phones. In some cases this involves children being groomed or exploited by an adult.
Donald Findlater, director of the Stop It Now! helpline, said: "People who are viewing increasing quantities of adult pornography need to ensure they don't step over a line and start viewing sexual images of under 18s - over recent years that is the path the majority of viewers of sexual material involving children have taken.
"Viewers of this material may make excuses to themselves - that they didn't take the pictures; that they aren't involved in the abuse; that the images are of teenagers and not little children - but all sexual images of under 18s are illegal, children are harmed in its creation and viewing, and there are grave consequences facing those who are arrested.
"Over the years we've helped thousands across the UK stop their illegal behaviour. If you are concerned about your own online behaviour or that of a loved one, please take action and call the Stop It Now! helpline for confidential advice."
If you are concerned for the safety of a child, call Thames Valley Police on 101, the NSPCC helpline on 0808 800 5000, or Crimestoppers anonymously on 0800 555 111.