Combine heavy cream with gochujang and mix well until fully combined.
In a pan over medium heat, combine sugar, corn syrup, and water. Heat until the mixture turns dark amber, making sure not to over-stir. Remove off heat.
Pour heavy cream into the melted sugar while whisking to mix well.
Next, add butter and salt. Mix until the salt is completely dissolved.
Pour through a chinois or fine mesh sieve.
Allow the caramel to cool before storing in the fridge.