We have prepared the internal states of two trapped ions in both the B
ell-like singlet and triplet entangled states. In contrast to all othe
r experiments with entangled states of either massive particles or pho
tons, we do this in a deterministic fashion, producing entangled state
s on demand without selection. The deterministic production of entangl
ed states is a crucial prerequisite for large-scale quantum computatio
n. [S0031-9007(98)07411-0].