The focus of this review is the work that has been done during the 1990s on using Type Ia supernovae (SNe Ia) to measure the Hubble constant (H-0) SNe Ia are well suited for measuring H-0. A straightforward maximum-light color criterion can weed out the minority of observed events that are either intrinsically subluminous or substantially extinguished by dust, leaving a majority subsample that has observational absolute-magnitude dispersions of less than sigma(obs)(M-B) similar or equal to sigma(obs)(M-V) similar or equal to 0.3 mag. Correlations between absolute magnitude and one or more distance-independent SN Ia or parent-galaxy observables can be used to further standardize the absolute magnitudes to better than 0.2 mag. The absolute magnitudes can be calibrated in two independent ways: empirically, using Cepheid-based distances to parent galaxies of SNe Ia, and physically, by light curve and spectrum fitting. At present the empirical and physical calibrations are in agreement at M-B similar or equal to M-V similar or equal to -19.4 or -19.5. Various ways thar have been used to match Cepheid-calibrated SNe Ia or physical models to SNe Ia that have been observed out in the Hubble flow have given values of H-0 distributed throughout the range of 54-67 km s(-1) Mpc(-1). Astronomers who want a consensus value of H-0 from SNe Ia with conservative errors could, for now, use 60 +/- 10 km s(-1) Mpc(-1).