A denim jacket can be styled with various types of hats depending on the overall look and personal style preference. Here are some options:

1. Baseball Cap: A classic option that can be styled with a denim jacket for a casual, sporty look. Opt for a simple, solid-colored cap or one with a minimal design to avoid clashing with the denim.
2. Fedora: A fedora hat can add a touch of sophistication to a denim jacket outfit. Choose a neutral color such as black, gray, or brown to complement the denim.
3. Bucket Hat: Bucket hats are a trendy option that can be paired with a denim jacket for a streetwear-inspired look. Opt for a bucket hat in a solid color or a bold pattern to add some visual interest to the outfit.