We present Fourier transform ion cyclotron resonance (FTICR) mass spectra at a magnetic field of 20 T; more than twice the highest field previously used for FTICR. Our instrument is based on a resistive magnet installed at the National High Magnetic Field Laboratory. The magnet has a 50 mm diameter bore and spatial inhomogeneity of approximately 1000 ppm over a 1 cm diameter spherical volume. However, FTICR mass resolving power far in excess of magnet homogeneity is achieved routinely for ions produced by either electron ionization (EI) or matrix-assisted laser desorption/ionization (MALDI). As examples, we show a MALDI mass spectrum of [M + H] quasimolecular ions of the peptide, human luteinizing hormone-releasing hormone (monoisotopic molecular weight, 1181.6 Da) at mass resolving power, m/delta m > 10,000; and an EI mass spectrum of molecular ions of the platinum cluster compound, Pt4(PF3)8 (average molecular weight, 1484 Da at mass resolving power, m/delta m approximately 20,000. Much better FTICR MS performance is predicted for future NHMFL resistive magnets of higher spatial and temporal homogeneity.