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Let $t\geq3$ and $G$ be a graph of order $n,$ with no $K_{2,t}$ minor. If$n>400t^{6}$, then the spectral radius $\mu\left( G\right) $ satisfies \[\mu\left( G\right) \leq\frac{t-1}{2}+\sqrt{n+\frac{t^{2}-2t-3}{4}}, \] withequality if and only if $n\equiv1$ $(\operatorname{mod}$ $t)$ and$G=K_{1}\vee\left\lfloor n/t\right\rfloor K_{t}$.  For $t=3$ the maximum $\mu\left( G\right) $ is found exactly for any$n>40000$.

The spectral radius of graphs with no $K_{2,t}$ minor