LHCb is the dedicated heavy-quark flavour experiment at the Large Hadron Collider (LHC) at CERN. The experiment has been designed to select beauty and charm hadrons with the main purpose of studying matter-antimatter asymmetries to elucidate CP violation in the beauty and charm-quark sectors. As a consequence, LHCb has the largest available data-set to measure the spectroscopy of heavy hadrons in order to test predictions of Quantum Chromodynamics (QCD). In this talk, I will highlight some recent results from LHCb in heavy-quark spectroscopy, including discovery of new beauty baryon states, the first observation of doubly-charm baryons and exploration of exotic states, such as tetraquark and pentaquark states observed at LHCb.