An ink for ink-jet recording apparatuses, includes water, a pigment dispersion, and a super-penetrating agent and a high SP organic solvent respectively having a predetermined solubility parameter (SP value). All of differences (ΔSPs) between SP values of the neighboring organic solvents are from 0.5 to 5.0 in order of SP values thereof, and the difference of SPmax−SPmin is 12 or less in which SPmax is the highest SP value of an organic solvent among organic solvents in the high SP organic solvent and SPmin is the smallest SP value of an organic solvent among organic solvents in the super-penetrating agent.