In this paper, the existence of solutions for fractional hybrid differential inclusions with tree-point boundary hybrid conditions is investigated:

^CD^p_0⁺(ξ(s)-m(s,ξ(s))/n(s,ξ(s))) ∈ L(s,ξ(s)),0<p≤2,

α₁(ξ(s)-m(s,ξ(s))/n(s,ξ(s)))_s=0+β₁(ξ(s)-m(s,ξ(s))/n(s,ξ(s)))_s=a = γ₁,

α₂^CD^q_0⁺(ξ(s)-m(s,ξ(s))/n(s,ξ(s)))_s=r+β₂^CD^q_0⁺(ξ(s)-m(s,ξ(s))/n(s,ξ(s)))_s=a = γ₂,0<r<a,

where D^p_0⁺ and D^q_0⁺ denotethe Caputo fractional derivative of order p,q respectively. 0<q≤1,α_i,β_i,γ_i,i=1,2, such that

α₁+β₁ ≠ 0, α₂r^1-q+β₂a^1-q ≠ 0, m ∈ C([0,a]×R,R),

n ∈ C([0,a]×R,R∖{0}), L ∈ [0,a]×R→P (R), is a multivalued map. By means of the multi-valued hybrid fixed point theorems, we present sufficient conditions for the existence of solutions for the fractional hybrid differential inclusions with three-point boundary hybrid conditions. An illustrative example is given to show the effectiveness of our main result. We generalize the single known results to the multi-valued ones.