Take the necessary prerequisites as an undergraduate. The majority of veterinary schools require the following courses: physics, biochemistry, biology/zoology, inorganic chemistry, organic chemistry, statistics, English composition and humanities/social sciences. Some veterinary universities also require genetics, microbiology and cellular biology.
Get good grades. There are only 28 accredited veterinary schools in the U.S., which means the admission process is very competitive. You need to have high grades, though it's not necessary to be a straight-A student.
Demonstrate a lifelong involvement with animals. Do volunteer work, have internships in animal-related jobs and be involved in science-related extracurricular activities.
Fill out the Veterinary Medical College Application Service (VMCAS) application at the Association of American Veterinary Medical Colleges (AAVMC) website. This application has 13 parts and will be part of an application package that goes to the veterinary universities of your choice. You'll also need to forward your transcripts.
Take the required graduate entrance exam. Different universities will require different tests, so check with your university of choice to see which ones it accepts. The most common is the Graduate Record Exam (GRE), but the Medical College Admission Test (MCAT) and the Veterinary College Admission Test (VCAT) are also accepted by some schools. Have your scores delivered directly to the university you're hoping to attend.