A light-emitting device, comprising: a light-emitting element and a light flux controlling member for controlling light emitted from the light-emitting element, the light flux controlling member having (i) a light-incoming surface from which the light from the light-emitting element enters the light flux controlling member and (ii) a light-outgoing surface from which the light being incident on the light-incoming surface is emitted from the light flux controlling member, the light-incoming surface having a concave curve part that is axisymmetrical with respect to a reference light axis of the light-emitting device, and the light-outgoing surface having (i) a convex curve part that is axisymmetrical with respect to the reference light axis and R 1 monotonically decreasing as α 1 increases, at least in a range of α 1 < π/3, where an intersection of the reference light axis and an emission surface of the light-emitting element is a reference point; α 1 is an angle between the reference light axis and a straight line that passes through the reference point and an arbitrary point on the light-incoming surface; and R 1 is a distance between the reference point and the arbitrary point on the light-incoming surface; R 2 monotonically increasing as α 2 increases, at least in a range of α 2 < π/3, where α 2 is an angle between the reference light axis and a straight line that passes through the reference point and an arbitrary point on the light-outgoing surface; and R 2 is a distance between the reference point and the arbitrary point on the light-outgoing surface; characterized in that the light-outgoing surface further having (ii) a recession continuing to the convex curve part, on a part encompassing an intersection of the reference light axis and the light-outgoing surface; and in that A 2 < 1 / n 2 - 1, where n is a refraction index of a material forming the light flux controlling member; and A 2 = ΔR 2 /(R 2 Δα 2), where ΔR 2 is an increment of R 2 when α 2 is incremented by Δα 2. a light-emitting element and a light flux controlling member for controlling light emitted from the light-emitting element, the light flux controlling member having (i) a light-incoming surface from which the light from the light-emitting element enters the light flux controlling member and (ii) a light-outgoing surface from which the light being incident on the light-incoming surface is emitted from the light flux controlling member, (i) a light-incoming surface from which the light from the light-emitting element enters the light flux controlling member and (ii) a light-outgoing surface from which the light being incident on the light-incoming surface is emitted from the light flux controlling member, the light-incoming surface having a concave curve part that is axisymmetrical with respect to a reference light axis of the light-emitting device, and the light-outgoing surface having (i) a convex curve part that is axisymmetrical with respect to the reference light axis and (i) a convex curve part that is axisymmetrical with respect to the reference light axis and R 1 monotonically decreasing as α 1 increases, at least in a range of α 1 < π/3, where an intersection of the reference light axis and an emission surface of the light-emitting element is a reference point; α 1 is an angle between the reference light axis and a straight line that passes through the reference point and an arbitrary point on the light-incoming surface; and R 1 is a distance between the reference point and the arbitrary point on the light-incoming surface; R 2 monotonically increasing as α 2 increases, at least in a range of α 2 < π/3, where α 2 is an angle between the reference light axis and a straight line that passes through the reference point and an arbitrary point on the light-outgoing surface; and R 2 is a distance between the reference point and the arbitrary point on the light-outgoing surface; characterized in that the light-outgoing surface further having (ii) a recession continuing to the convex curve part, on a part encompassing an intersection of the reference light axis and the light-outgoing surface; and in that A 2 < 1 / n 2 - 1, where n is a refraction index of a material forming the light flux controlling member; and A 2 = ΔR 2 /(R 2 Δα 2), where ΔR 2 is an increment of R 2 when α 2 is incremented by Δα 2. (ii) a recession continuing to the convex curve part, on a part encompassing an intersection of the reference light axis and the light-outgoing surface;