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We present a detailed structural and morphological study of a large sample ofspectroscopically-confirmed galaxies at z >= 6, using deep HST near-IRbroad-band images and Subaru optical narrow-band images. The galaxy sampleconsists of 51 Lyman-alpha emitters (LAEs) at z ~ 5.7, 6.5, and 7.0, and 16Lyman-break galaxies (LBGs) at 5.9 < z < 6.5. These galaxies exhibit a widerange of rest-frame UV continuum morphology in the HST images, from compactfeatures to multiple component systems. The fraction of merging/interactinggalaxies reaches 40% ~ 50% at the brightest end of M_1500 <= -20.5 mag. Theintrinsic half-light radii r_{hl,in}, after correction for PSF broadening, areroughly between r_{hl,in} ~ 0.05" (0.3 kpc) and 0.3" (1.7 kpc) at M_1500 <=-19.5 mag. The median r_{hl,in} value is 0.16" (~0.9 kpc). This is consistentwith the sizes of bright LAEs and LBGs at z >= 6 in previous studies. Inaddition, more luminous galaxies tend to have larger sizes, exhibiting a weaksize-luminosity relation r_{hl,in} \propto L^{0.14} at M_1500 <= -19.5 mag. Theslope of 0.14 is significantly flatter than those in fainter LBG samples. Wediscuss the morphology of z >= 6 galaxies with nonparametric methods, includingthe CAS system and the Gini and M_20 parameters, and demonstrate their validitythrough simulations. We search for extended Lyman-alpha emission halos aroundLAEs at z ~ 5.7 and 6.5, by stacking a number of narrow-band images. We do notfind evidence of extended halos predicted by cosmological simulations. SuchLyman-alpha halos, if they exist, could be weaker than predicted. Finally, weinvestigate any positional misalignment between UV continuum and Lyman-alphaemission in LAEs. While the two positions are generally consistent, severalmerging galaxies show significant positional differences. This is likely causedby a disturbed ISM distribution due to merging activity.

Physical Properties of Spectroscopically-Confirmed Galaxies at z >= 6. II. Morphology of the Rest-Frame UV Continuum and Lyman-alpha Emission