The ability to be productive is not a talent, it is a skill and can be honed with proper diet, time management skills and a system of rewards for meeting goals. Learning to be productive requires self-discipline, especially in the modern age of the Internet where distractions are abundant.
Perhaps the most important part of being productive is diet. A healthy diet includes protein, complex carbohydrates, some fats and fiber. No matter how lofty the set goals are, if your body and brain don't have the energy to perform, you will not be able to stay focused on a task. Try and eat breakfast each morning. Breakfast is vital; it gets the body in work mode and provides energy for the day.
Have a clear set of goals in mind. This doesn't mean a list of things you maybe want to do someday, but a goal with a plan of action and reasonable timetable that you can stick to. Eliminate distractions and log off the Internet if necessary.
As daily goals are met, allow a reward. Do a fun or relaxing activity or spend some quality time with family and friends. Over working leads to burnout and the death of productivity.