In the framework of density functional theory (DFT), the lowest triplet excited state, T 1 , can be evaluated using multiple formulations, the most straightforward of which are unrestricted DFT (UDFT) and time-dependent DFT (TDDFT). Assuming the exact exchangecorrelation (XC) functional is applied, UDFT and TDDFT provide identical energies for T 1 (E T ), which is also a constraint that we require our XC functionals to obey. However, this condition is not satisfied by most of the popular XC functionals, leading to inaccurate predictions of low-lying, spectroscopically and photochemically important excited states, such as T 1 and the lowest singlet excited state (S 1 ). Inspired by the optimal tuning strategy for frontier orbital energies [T. Stein, L. Kronik, and R. Baer, J. Am. Chem. Soc. 131, 2818 (2009)], we proposed a novel and non-empirical prescription of constructing an XC functional in which the agreement between UDFT and TDDFT in E T is strictly enforced. Referred to as "triplet tuning", our procedure allows us to formulate the XC functional on a case-by-case basis using the molecular structure as the exclusive input, without fitting to any experimental data. The first triplet tuned XC functional, TT-ωPBEh, is formulated as a long-range-corrected (LRC) hybrid of Perdew-Burke-Ernzerhof (PBE) and Hartree-Fock (HF) functionals [M. A. Rohrdanz, K. M. Martins, and J. M. Herbert, J. Chem. Phys. 130, 054112 (2009)] and tested on four sets of large organic molecules. Compared to existing functionals, TT-ωPBEh manages to provide 1 arXiv:1806.00317v3 [physics.chem-ph] 15 Jan 2019more accurate predictions for key spectroscopic and photochemical observables, including but not limited to E T , the optical band gap (E S ), the singlet-triplet gap (∆E ST ), and the vertical ionization potential (I ⊥ ), as it adjusts the effective electron-hole interactions to arrive at the correct excitation energies. This promising triplet tuning scheme can be applied to a broad range of systems that were notorious in DFT for being extremely challenging.