The rotational spectrum of the 15N‐substituted quasilinear molecule fulminic acid, HCNO, has been measured in the frequency range from 90 to 440 GHz covering rotational transitions up to J = 19←18. Rotational transitions arising from HC15NO molecules in 52 vibrational levels were detected and assigned. Additional information was obtained by measuring the direct l‐type transitions for v5 = 1 and 3 and for v4 = 1 in the frequency range from 18 to 40 GHz. With the information from the rotational spectrum the analysis of the far and mid‐infrared spectra (170‐1300cm−1), which was started by Wagner et al. [J. Mol. Spectrosc. 162, 82 (1993)], could be extended so that the vibrational term values of HC15NO were determined for almost every state below 2500cm−1. The assignment of the 114 subbands involved allowed in turn the assignment of 25 subbands in the mid‐infrared from the data of Quapp et al. [J. Mol. Spectrosc. 160, 540 (1993)]. The infrared spectra were recorded with a Bruker IFS 120 HR interferometer at resolutions between 0.0019 and 0.0034 cm−1. For the vibrational states (v1 v2v3v4v5) = (00000), (00001), (00002), (00003), (00004), (00010), (00011) an (00100) the spectroscopic constants of an effective Hamiltonian for linear molecules could be improved by combining the already published infrared data with the millimeter wave, microwave and newly assigned infrared data presented in this work. For the states (00013) and (00101) these constants were also calculated. A calibration problem with the infrared data became obvious and important. The effects of a Fermi‐type resonance between the vibrational levels (00004)oe and (00100)oe and a Coriolis resonance between the states (00002) and (00010) on the rotational and rovibrational spectra were observed and analysed. The difficulties encountered in determining the Coriolis resonance parameters are discussed.