This article introduces a strong‐motion dataset of near‐source broadband earthquake ground motions from 3D physics‐based numerical simulations—named BB‐SPEEDset—obtained by the code SPEED (SPectral Elements in Elastodynamics with Discontinuous Galerkin)—developed at Politecnico di Milano, Italy. Taking advantage of the earthquake ground‐motion scenarios produced so far by SPEED, in most cases validated against earthquake recordings, the main objective of this work is to construct and validate a dataset of simulated broadband waveforms to be used as a support for characterization and modeling of near‐source earthquake ground motions. To pursue this objective, the following steps were necessary, namely: (1) the implementation of an effective workflow suitable to process in an homogeneous format various SPEED simulations; (2) the generation of broadband time histories using a technique based on artificial neural networks, trained on strong‐motion records; (3) the creation of a flat file collecting, for each simulated scenario, the most relevant metadata (fault rupture scenario, site response proxies, source‐to‐site distances) as well as a comprehensive set of ground‐motion intensity measures of the processed broadband waveforms (peak ground acceleration, velocity and displacement, spectral ordinates, duration, pulse period, etc.). Finally, a comprehensive set of consistency checks is made to verify the absence of any systematic bias in the trend of the BB‐SPEEDset results with respect to the NEar‐Source Strong‐motion (NESS) version 2.0 near‐source recorded ground‐motion dataset. Indeed, the main features of near‐source ground motion in BB‐SPEEDset, ranging from the statistical distributions of peak and integral measures both at short and long periods, the ground‐motion attenuation with distance, to the features of impulsive ground motions and directionality effects, are in substantial agreement with those from NESS.