Areas of Durrington Cemetery have been cordoned off following the discovery of active badger setts.
A Worthing Borough Council spokesman confirmed the activity on Tuesday, which had seen some graves taped off.
The council said it needed to seek consent for works which it hoped would solve the problem.
The spokesman said: “As badgers are a protected species, we are required by law to secure permission from Natural England to carry out work at the cemetery which will hopefully encourage them to move to another area. Once that happens we can put in place measures to prevent them from returning.
“As this is an active site, we understand that residents will be deeply concerned about graves being affected.
“We fully understand these feelings and want to reassure residents that we are moving as fast as we possibly can, whilst ensuring we comply with the rules and regulations which exist to protect badgers.”