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In this paper, we obtain the global structure of positive solutions for nonlinear discrete simply supported beam equation $$begin{aligned}u0026 Delta ^{4}u(t-2)= lambda fbigl(t,u(t)bigr),quad tin mathbb{T}, u0026 u(1)=u(T+1)=Delta ^{2}u(0)=Delta ^{2}u(T)=0, end{aligned}$$with (fin C(mathbb{T}times [0,infty ),[0,infty ))) satisfying local linear growth condition and (f(t,0)=0) uniformly for (tin mathbb{T}), where (mathbb{T}={2,ldots,T}), (lambda u003e0) is a parameter. The main results are based on the global bifurcation theorem.

The continuum branch of positive solutions for discrete simply supported beam equation with local linear growth condition