Push-ups and bench press are both effective exercises for building a bigger chest, but they target different muscle fibers and provide different benefits.

Push-ups are a bodyweight exercise that target the chest, triceps, and shoulders. They are a compound exercise that work multiple muscle groups at once, making them a great exercise for building overall upper body strength. Push-ups also require stability and control, which can help improve core strength and stability.

Bench press is a resistance exercise that is typically performed using a barbell or dumbbells. It primarily targets the chest, triceps, and shoulders. Bench press is a more specific exercise for building chest strength and size, and it allows you to use heavier weights than you would with push-ups. This can lead to more significant muscle growth in a shorter period of time.

Both push-ups and bench press have their advantages and disadvantages, and the best exercise for building a bigger chest will depend on your individual goals, preferences, and fitness level. Incorporating both exercises into your workout routine can help you target different muscle fibers and provide a more well-rounded workout. It's also important to vary your exercises and incorporate different types of resistance training to ensure that you continue to challenge your muscles and avoid plateauing.