  We present the results of a search for transversely polarised hidden photons
(HPs) with $\sim 3$ eV energies emitted from the Sun. These hypothetical
particles, known also as paraphotons or dark sector photons, are theoretically
well motivated for example by string theory inspired extensions of the Standard
Model. Solar HPs of sub-eV mass can convert into photons of the same energy
(photon$\leftrightarrow$HP oscillations are similar to neutrino flavour
oscillations). At SHIPS this would take place inside a long light-tight
high-vacuum tube, which tracks the Sun. The generated photons would then be
focused into a low-noise photomultiplier at the far end of the tube. Our
analysis of 330 h of data (and {330 h} of background characterisation) reveals
no signal of photons from solar hidden photon conversion. We estimate the rate
of newly generated photons due to this conversion to be smaller than 25
mHz/m$^2$ at the 95$%$ C.L. Using this and a recent model of solar HP emission,
we set stringent constraints on $\chi$, the coupling constant between HPs and
photons, as a function of the HP mass.
