A table top picosecond pulsed X-ray and laser induced fluorescence spectrometer using two-dimensional photon counting is presented. With this streak camera system it is possible to measure fluorescence events in a wavelength range from 200-850 nm. Measuring results are full time resolved fluorescence spectra with a temporal resolution up to 20 ps after deconvolution. The instrumental response function (IRF) of the system is around 60 ps for laser excitation and 80 ps for X-ray excitation. For a performance test well known inorganic (CsI, CsI:Tl) and organic scintillators (anthracene) as well as rhodamine 6G for laser induced fluorescence are measured and evaluated. The easily manageable system shows satisfying results in agreement with literature values.