Dr. Jones' Ultimate Canine Health Formula is designed with Adult and Senior dogs in mind. It is safe to give to your older puppy - but since most puppies are very energetic and healthy, you won't see much of a difference in them if they do take the formula. So, it's generally not necessary - unless you are providing a home diet and would like to ensure they receive additional vitamins and minerals, or your puppy already has health issues.
If you do choose to give the supplement to your puppy, here's the guideline: for small breeds, do not start giving them the supplement until after the age of 6 months, and for medium and large breeds, the age of 9 months.
Once your puppy becomes an Adult at 1 year of age, start them on full doses for long term disease prevention.