We prove a characterization of the power function distribution by lower record values. We prove that $F(x)=(frac{x}{a})^{alpha}$ for all $x$, 0 < $x$ < $a$, ${alpha}$ > 0 and $a$ > 0 if and only if $frac{X_{L(n)}}{X_{L(m)}}$ and $X_{L(m)}$ are independent for $1{leq}m$ < $n$.