Kent have taken the unusual step of disabling the comment functions on their social media accounts as part of a "duty of care" to the county's players.
Kent were relegated from Division One of the County Championship in 2024 and, after Adam Hollioake arrived as head coach last year, they then finished bottom of Division Two in 2025.
They are winless in three Championship matches at the beginning of this season and again lie bottom of the second tier.
In a statement ahead of Friday's home match against Derbyshire, Hollioake said: "This has not been a decision we have taken lightly and we are by no means stopping people voicing their opinions.
"The majority of our supporters are behind us and criticise us fairly but when this crosses the line, this can be damaging to not only the players but their friends, family and loved ones."
Kent have more than 104,000 followers on their X account and in excess of 64,000 on Instagram.
The club has not specified how long the suspension will be in place. It said supporters can give feedback via email and at members' forums, one of which will take place on the first day of the game against Derbyshire at Canterbury.