<p>This paper studies uniform measure attractors for non-autonomous stochastic lattice systems with delay driven by higher-order nonlinear noise. While previous studies have investigated attractors for stochastic lattice systems with delay, the existence of uniform measure attractors for systems with higher-order nonlinear drift and diffusion terms remains unresolved due to the inherent difficulty in obtaining uniform closed absorbing sets under higher-order nonlinearities. To address this challenge, we establish an equivalent theoretical framework for uniform measure attractors via <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\omega \)</EquationSource> </InlineEquation>-limit compactness and uniform asymptotic tightness, which removes the reliance on uniform closed absorbing sets. Within this novel framework, we prove the existence and uniqueness of uniform measure attractors for non-autonomous stochastic delay lattice systems with almost periodic forcing and higher-order nonlinear terms.</p>