We present direct kinematic evidence for bar streaming motions in two active galaxies with boxy stellar bulges . The Hawaii Imaging Fabry-Perot Interferometer was used on the Canada-France-Hawaii 3.6-m telescope and the University of Hawaii 2.2-m telescope to derive the two-dimensional velocity field of the line-emitting gas in the disks of the Sc galaxy NGC 3079 and the Sb galaxy NGC 4388 . In contrast to previous work based on long-slit data , the detection of the bar potential from the Fabry-Perot data does not rely on the existence of inner Lindblad resonances or strong bar-induced shocks . Simple kinematic models which approximate the intrinsic gas orbits as nonintersecting , inclined elliptical annuli that conserve angular momentum characterize the observed velocity fields . In NGC 3079 , bar streaming motions with moderately eccentric orbits ( e = b / a \sim 0.7 ) aligned along PA = 130 \arcdeg intrinsic to the disk ( PA = 97 \arcdeg on the sky ) are detected out to R _ { b } = 3.6 kpc . The orbits become increasingly circular beyond that radius ( e = 1 at R _ { d } \approx 6 kpc ) . The best model for NGC 4388 includes highly eccentric orbits ( e \sim 0.3 ) for R _ { b } \la 1.5 kpc which are aligned along PA = 135 \arcdeg intrinsic to the disk ( PA = 100 \arcdeg on the sky ) . The observed “ spiral arms ” are produced by having the orbits become increasingly circular from the ends of the bar to the edge of the disk ( R _ { d } \approx 5 kpc ) , and the intrinsic bar PA shifting from 135 \arcdeg to 90 \arcdeg . Box-shaped bulges in both NGC 3079 and NGC 4388 are confirmed using new near-infrared images to reduce dust obscuration . Morphological analysis of starlight in these galaxies is combined with the gas kinematics derived from the Fabry-Perot spectra to test evolutionary models of stellar bars that involve transitory boxy bulges , and to quantify the importance of such bars in fueling active nuclei . Our data support the evolutionary bar models , but fail to prove convincingly that the stellar bars in NGC 3079 and NGC 4388 directly trigger or sustain the nuclear activity .