We selected 115 extremely red objects (EROs) from deep Hubble Space Telescope (HST) WFPC2 archive data combined with ground-based K-band images, with (F814WÀK s ) ! 4, K-band signal-to-noise ratio !5, and a median limiting K s magnitude of $18.7, over a corresponding area of 228 arcmin 2 , for a morphological study of the ERO galaxy population. The survey covered a total of $409 arcmin 2 over 77 separate WFPC2 fields. This is the first complete sample of bright EROs with high-resolution HST morphologies. From a visual morphological classification, we find that 30% AE 5% of our (F814WÀK s ) ! 4 selected sample have morphologies consistent with a pure bulge or bulge-dominated galaxy (equivalent to E/S0), while disks comprise 64% AE 7% of the sample. Only 6% of the EROs remained unclassifiable. Mergers or strongly interacting systems, which includes sources from both classes, make up 17% AE 4% of the full sample. The quantitative Medium Deep Survey profile fitting is consistent with these results. These results highlight the complex nature of optical/near-IR color selected EROs. The dominant component of our sample is composed of disks, not spheroids or strongly interacting systems like HR 10. Using Bruzual & Charlot spectral energy distribution models, we investigated population differences in EROs selected by their (IÀK) versus (RÀK) colors and found that I-band based surveys preferentially select systems with prolonged star formation. Real differences in the surface densities of EROs in R-band and I-band based survey may reflect this color selection effect, complicating the comparisons between and interpretations on the nature of the ERO population. We conclude that only a small fraction of EROs at z $ 1 2 could be passively evolving elliptical galaxies formed at high redshift through a '' monolithic collapse '' mechanism. For the majority of EROs, even if most of their stellar mass is already in place at z $ 1, interaction with the environment and accretion of gas still play important roles in their continuing evolution.