Cosmetic composition comprising at least one particular amphoteric polymer and at least one particular conditioning agent The present invention relates to a cosmetic composition comprising: a)—one or more amphoteric polymers comprising a repetition of: (i) one or more units obtained from a monomer of (meth)acrylamide type, (ii) one or more units obtained from a monomer of (meth)acrylamidoalkyltrialkylammonium type, and (iii) one or more units obtained from an acidic monomer of (meth)acrylic acid type, the said amphoteric polymer(s) being present in the composition in an amount of between 0.01% and 10% by weight relative to the total weight of the composition, and b)—one or more conditioning agents chosen from plant oils, mineral oils, non-volatile linear silicones of polydialkylsiloxane structure, non-volatile linear silicones of polydiarylsiloxane structure, non-volatile linear silicones of polyalkylarylsiloxane structure, fatty acid diesters of polyethylene glycol comprising from 2 to 50 oxyethylene units, and a mixture thereof. The invention also relates to a cosmetic process for treating keratin fibres using such a composition, and to a cosmetic use for facilitating the styling and/or for improving the suppleness, smoothness and/or disentangling of the hair.