Although there is a general consensus on the fact that pulsars' radio emission is coherent in nature, whereas the emission from the optical to high-energy γrays is due to incoherent processes, it has not been established yet at which wavelengths the transition occurs, a key information for all emission models of pulsar magnetospheres. Of course, to address this issue covering the spectral region between the GHz radio frequencies and the mid-infrared (IR) is crucial. We used the Atacama Large Millimetre Array (ALMA) to observe the Vela pulsar (PSR B0833−45), one of the very few observed in radio and from the mid-IR up to the very high-energy γ-rays. We detected Vela at frequencies of 97.5, 145, 233, and 343.5 GHz, which makes it the first pulsar ever detected with ALMA. Its energy density spectrum follows a power-law of spectral index α = −0.93 ± 0.16. This corresponds to very high brightness temperatures -from 10 17