Process for preparing a polyoxyalkylene polyol by reacting at least one H-functional starter compound with at least one alkylene oxide in the presence of a double metal cyanide catalyst in a reactor, by supplying the reactor continuously or discontinuously with the at least one alkylene oxide from a time t 1 until a time t 3, with possible commencement of supply of the reactor with a portion of the total amount of the at least one alkylene oxide to be supplied for preparation of the desired polyoxyalkylene polyol from an earlier time t 0 ≤ t 1, characterized in that from a time t 2 the mean metering rate r AO with which the at least one alkylene oxide is supplied to the reactor is always not more than 42 h -1, where t 3 > t 2 > t 1, and r AO = n AO n OH ⋅ Δ ⁢ t ⋅ OHN target / mg KOH ⋅ g − 1, with ∘ Δt: period of time from t 2 until the time of ending of the alkylene oxide addition (t 3) in h, ∘ n AO: molar amount n of alkylene oxide in mol added in total over the period of time Δt, ∘ n OH: total molar amount n of hydroxyl groups in the starter compound used in mol, ∘ OHN target = m S ⋅ OHN S m R; ∘ OHN S: hydroxyl number of the at least one starter compound in mg KOH / g, ∘ m S: total mass of the at least one starter compound used in g, ∘ m R: total mass of all reactants supplied to the reactor after ending of the alkylene oxide addition in g, where the time t 2 is chosen such that the polyoxyalkylene polyol present in the reactor at this time has a calculated equivalent molar mass M t 2 equiv. calc. in the range from 8000 g · mol -1 to 9500 g · mol -1, where, in addition, the at least one alkylene oxide from the time t 1 and ∘ at least until the time corresponding to the attainment of a calculated equivalent molar mass M t equiv. calc. of 8000 g · mol -1 and ∘ at most until the time corresponding to the attainment of a calculated equivalent molar mass M t equiv. calc. of 9500 g · mol -1 is supplied to the reactor so as to attain a total alkylene oxide metering time, defined as the period of time Δt 30 = t 3 - t 0, of 0.5 h to 13 h, where M t equiv. calc. = m R t m S ⋅ OHN S ⋅ 56100 mg KOH ⋅ mol − 1, with ∘ m R t: total mass of all reactants supplied to the reactor up to a given time t in g; and where the polyoxyalkylene polyol, after the total alkylene oxide metering time has elapsed, has a calculated equivalent molar mass of 9550 g · mol -1 to 23 000 g · mol -1. ∘ Δt: period of time from t 2 until the time of ending of the alkylene oxide addition (t 3) in h, ∘ n AO: molar amount n of alkylene oxide in mol added in total over the period of time Δt, ∘ n OH: total molar amount n of hydroxyl groups in the starter compound used in mol, ∘ OHN target = m S ⋅ OHN S m R; ∘ OHN S: hydroxyl number of the at least one starter compound in mg KOH / g, ∘ m S: total mass of the at least one starter compound used in g, ∘ m R: total mass of all reactants supplied to the reactor after ending of the alkylene oxide addition in g, where the time t 2 is chosen such that the polyoxyalkylene polyol present in the reactor at this time has a calculated equivalent molar mass M t 2 equiv. calc. in the range from 8000 g · mol -1 to 9500 g · mol -1, where, in addition, the at least one alkylene oxide from the time t 1 and ∘ at least until the time corresponding to the attainment of a calculated equivalent molar mass M t equiv. calc. of 8000 g · mol -1 and ∘ at most until the time corresponding to the attainment of a calculated equivalent molar mass M t equiv. calc. of 9500 g · mol -1 is supplied to the reactor so as to attain a total alkylene oxide metering time, defined as the period of time Δt 30 = t 3 - t 0, of 0.5 h to 13 h, where M t equiv. calc. = m R t m S ⋅ OHN S ⋅ 56100 mg KOH ⋅ mol − 1, with ∘ m R t: total mass of all reactants supplied to the reactor up to a given time t in g; and where the polyoxyalkylene polyol, after the total alkylene oxide metering time has elapsed, has a calculated equivalent molar mass of 9550 g · mol -1 to 23 000 g · mol -1.