Two compact components of the NGC 6334 star-forming region have been imaged in molecular and ionized gas at high spatial and spectral resolution with the Very Large Array. The H II region NGC 6334A has been imaged in the radio continuum at 6, 3.6, and 2 cm, and in the recombination lines H76 alpha (2 cm) and H92 alpha (3.6 cm). NGC 6334F has been imaged at 6 and 2 cm in the radio continuum, and in the H76 alpha recombination line. Both components have been imaged in the J(KK) = 1(10) --> 1(11) (6 cm) and J(KK) = 2(11) --> 2(12) (2 cm) lines in H2CO absorption. Components A and F are separated by similar to 11' (5.4 pc) along a star-forming ridge. In component A, high-resolution (similar to 3 '') continuum observations confirm the presence of a similar to 15 '' diameter shell. Spectral observations of the ionized gas in component A at both frequencies show velocity gradients that are consistent with rotation in the ionized gas. In addition, a bipolar outflow is observed along the perpendicular axis into the ''lobes'' to the north and south of the compact core. In component F, there is a velocity gradient in the ionized gas that is along the same axis as the bipolar CO outflow observed by Bachiller & Cernicharo (1990). The H2CO absorption lines toward both components suggest outflow in the molecular gas.