Robust evidence exists for the shape bias, or children's tendency to extend novel names and categorize objects more readily on the basis of shape than on other object features. However, issues remain about the conditions that affect the shape bias and its importance as a linguistic device. In this research, we examined how type of instruction (common noun naming, proper noun naming, same kind, and goes with), animacy of objects (animate, inanimate), and dimensionality of objects (two‐dimensional, three‐dimensional) affect the shape bias in 3‐ to 6‐year‐old children. Overall, all children showed strong use of the shape bias with categorization (same kind, goes with) instructions, the former in line with the shape‐as‐cue theory. Additionally, the shape bias was quite robust in the inanimate condition, regardless of type of instruction or dimensionality of objects. However, in the animate condition, a proper noun naming instruction coupled with an animate object cue reduced the shape bias across both two‐ and three‐dimensional objects. Implications of these findings are presented. Highlights This study assessed the “shape bias,” a linguistic strategy young children routinely use when confronted with the task of extending a novel name from one object to another. Novel name extension and categorization tasks were used in this study. Shape bias was affected by the type of instructions, animacy of objects, and dimensionality of objects.