Running a validator on the Kusama network is identical to running a Polkadot validator. Check out the Polkadot guide on how to setup a validator.
Make sure to adjust the Polkadot guide to run a Kusama network validator:
- When starting the node pass
./target/release/polkadot --pruning=archive --chain kusama
- Similar to Polkadot network Kusama has its own token called KSM