A neutron powder diffraction study of ${\mathrm{EuFe}}_{2}{\mathrm{P}}_{2}$ at a wavelength of 2.3672(1) \AA{} shows that the 6.6(3) ${\ensuremath{\mu}}_{B}$ Eu${}^{2+}$ moments order ferromagnetically at ${T}_{C}=30(1)$ K and are canted at an angle of 17(3)${}^{\ifmmode^\circ\else\textdegree\fi{}}$ from the $c$ axis. No evidence for the previously proposed antiferromagnetic or helimagnetic structures was found. The almost axial ferromagnetic structure of ${\mathrm{EuFe}}_{2}{\mathrm{P}}_{2}$ contrasts sharply with the planar antiferromagnetism seen in ${\mathrm{EuFe}}_{2}{\mathrm{As}}_{2}$ and many other europium\char21{}transition metal pnictides, suggesting a delicate interplay between the Eu $4f$ and transition metal $3d$ electrons.