We present recent results from the Collider Detector at Fermilab (CDF) and D0 experiments using data from proton-antiproton collisions with s**(1/2) = 1.96 TeV at Run II of the Fermilab Tevatron. New physics may appear in events with high transverse momentum objects, including photons and gluon jets. The results described here are of signature-based searches and model-based searches probing supersymmetry, leptoquarks, 4th generation quarks, and large extra dimensions.