The invention discloses a low-sensitivity valley-free puffed staple food for dogs and cats, a composite freeze-dried puffed staple food for dogs and cats, and preparation methods and application thereof. The low-sensitivity valley-free puffed staple food for dogs and cats comprises 25-35 parts of poultry meat powder, 10-20 parts of poultry meat, 5-15 parts of poultry meat with bones, 8-23 parts ofpoultry internal organs, 2-10 parts of tapioca flour, 7.2-21.8 parts of grease, 2-7 parts of kelp powder, 0.1-0.5 part of table salt, 1-3 parts of beer yeast powder, 0.5-2 parts of saccharomyces cerevisiae extract, 0.5-2% of vitamin premix, 0.5%-2% of an organic trace element premix, 0.1%-0.3% of a prebiotic premix, and 0.1%-0.3% of a probiotic premix. The composite freeze-dried puffed staple food for dogs and cats comprises the following components in parts by mass: 90-95 parts of the puffed staple food and 1-5 parts of low-sensitivity freeze-dried particles. The compound freeze-dried puffedstaple food for dogs and cats purifies protein sources in products, reduces the probability of contact between dogs and cats and allergens, reduces allergy risks of dogs and cats, controls inflammation, helps dogs and cats relieve itching, edema, pain and other symptoms, and can also improve the antioxidant function of pets and enhance the immunity of pets.