Solution: The focus of the parabola $x^{2}=2y$ is $(0, \frac {1}{2})$, and one of the foci of the ellipse $\frac {y^{2}}{m}+ \frac {x^{2}}{2}=1$ is $(0, \sqrt {m-2})$. For them to coincide, we get $\sqrt {m-2}= \frac {1}{2}$,
solving this gives $m= \frac {9}{4}$.
Therefore, the correct choice is: $\boxed{D}$.
To solve this problem, we find the coordinates of the focus of the parabola and ensure it coincides with the focus of the ellipse, then solve for $m$.
This question tests the application of simple properties of ellipses and parabolas, as well as computational skills.