The best way to increase your bench press is to focus on adding either weight or the number of reps you reach each week, while keeping a good form.
For example, if your workout programme calls for 3 sets of 8-12 reps, you would increase the number of reps each week until you can do 12 reps. The next week, you can add enough weight that you can do 8 reps, and from there add reps on each week.
You'll also need to build strength in your chest through bench press variations, chest flys, and dips, work any supporting muscles such as the triceps through isolation work, and strengthen your core.