Gather all ingredients

Season salmon fillets with salt and pepper.

Melt 1 tablespoon butter in a skillet over medium-high heat. Cook salmon, skin side-up, in melted butter until golden brown, 5 to 7 minutes. Flip salmon; continue cooking until skin is slightly browned and fish flakes easily with a fork, about 5 minutes more.

Meanwhile, melt remaining 1 tablespoon butter in a saucepan. Press garlic into butter using a garlic press and cook for 1 minute. Pour in cream and stir constantly for 2 minutes.

Add lemon juice and dill. Be careful that sauce doesn't break.

Serve lemon sauce over salmon.