**NOTE: You should have access to everything in the norms by default [here][1], so there's no need to request access. But if you notice any errors or missing information please do [let me know][2]!** Sensorimotor information plays a fundamental role in cognition. However, existing datasets that measure the sensorimotor basis to word meanings and concepts have been restricted in sample size and breadth of sensorimotor experience. Here, we present norms of sensorimotor strength for 39,707 concepts across six perceptual modalities (touch, hearing, smell, taste, vision, and interoception) and five action effectors (mouth/throat, hand/arm, foot/leg, head excluding mouth/throat, and torso), gathered from a total of 4,558 individual participants using Amazon's Mechanical Turk platform. The Lancaster Sensorimotor Norms are unique in a number of respects: they represent the largest ever set of semantic norms for English at 40 thousand words x 11 dimensions (plus several informative cross-dimensional variables); they extend perceptual strength norming to the new modality of interoception; and they include the first norming of action strength across separate bodily effectors. We describe the data collection procedures, provide summary descriptives of the dataset, extract an optimal single- variable composite of the 11-dimension sensorimotor profile (Minkowski 3 strength), and demonstrate the utility of both perceptual and action strength in facilitating lexical decision times and accuracy. These norms provide a valuable resource to researchers in diverse areas including psycholinguistics, grounded cognition, cognitive semantics, knowledge representation, machine learning, and big data approaches to the analysis of language and conceptual representations. There are also some associated apps that you might find useful, including here: https://www.lancaster.ac.uk/psychology/lsnorms/ and a Sensorimotor distance calculator based on Wingfield & Connell. (2022). Sensorimotor distance: a grounded measure of semantic similarity for 800 million concept pairs. here: https://www.lancaster.ac.uk/psychology/smdistance/ [1]: https://osf.io/7emr6/ [2]: https://www.maynoothuniversity.ie/people/dermot-lynott