A threaded connection: for connecting steel pipes, comprising: a steel pipe with a pin constituting its pipe end portion; and another steel pipe with a box constituting its pipe end portion, the pin being inserted into the box such that the box and the pin are made up, wherein the pin includes: a pin inner sealing surface formed on an outer periphery of the pin at a tip portion thereof; a pin outer sealing surface formed on the outer periphery of the pin at an end portion thereof adjacent to a pipe body of the one steel pipe; an inner male thread located between the pin inner sealing surface and the pin outer sealing surface, the inner male thread being formed on the outer periphery of the pin; an outer male thread located between the pin inner sealing surface and the pin outer sealing surface and closer to the pin outer sealing surface than the inner male thread, the outer male thread being formed on the outer periphery of the pin; and a pin shoulder surface located between the inner male thread and the outer male thread, the pin shoulder surface being formed on the outer periphery of the pin, the box includes: a box inner sealing surface formed on an inner periphery of the box to correspond to the pin inner sealing surface, the box inner sealing surface being in contact with the pin inner sealing surface when the connection has been made up; a box outer sealing surface formed on the inner periphery of the box to correspond to the pin outer sealing surface, the box outer sealing surface being in contact with the pin outer sealing surface when the connection has been made up; an inner female thread formed on the inner periphery of the box to correspond to the inner male thread, the inner female thread mating with the inner male thread when the connection has been made up; an outer female thread formed on the inner periphery of the box to correspond to the outer male thread, the outer female thread mating with the outer male thread when the connection has been made up; and a box shoulder surface formed on the inner periphery of the box to correspond to the pin shoulder surface, the box shoulder surface being in contact with the pin shoulder surface when the connection has been made up, wherein the inner male thread includes a first parallel portion located at an end portion of the inner male thread adjacent to the pin inner sealing surface, the first parallel portion including a plurality of thread roots parallel to a pipe axis of the one steel pipe in a longitudinal cross-sectional view of the pin, the thread roots having the same diameter, the inner female thread: includes a first tapered portion facing the first parallel portion when the connection has been made up, the first tapered portion having a thread height larger than that in the first parallel portion and a thread diameter decreasing toward the box inner sealing surface, the pin inner sealing surface has a maximum diameter larger than a minimum diameter of a thread crest in the first tapered portion, and Da<Db is satisfied, where Da is a difference in diameter between adjacent thread crests in the first tapered portion in a longitudinal cross section of the pin and the box as found when the connection is not made up, and Db is a difference between the diameter of the thread roots in the first parallel portion and the maximum diameter of the pin inner sealing surface. a steel pipe with a pin constituting its pipe end portion; and another steel pipe with a box constituting its pipe end portion, the pin being inserted into the box such that the box and the pin are made up, a pin inner sealing surface formed on an outer periphery of the pin at a tip portion thereof; a pin outer sealing surface formed on the outer periphery of the pin at an end portion thereof adjacent to a pipe body of the one steel pipe; an inner male thread located between the pin inner sealing surface and the pin outer sealing surface, the inner male thread being formed on the outer periphery of the pin; an outer male thread located between the pin inner sealing surface and the pin outer sealing surface and closer to the pin outer sealing surface than the inner male thread, the outer male thread being formed on the outer periphery of the pin; and a pin shoulder surface located between the inner male thread and the outer male thread, the pin shoulder surface being formed on the outer periphery of the pin, a box inner sealing surface formed on an inner periphery of the box to correspond to the pin inner sealing surface, the box inner sealing surface being in contact with the pin inner sealing surface when the connection has been made up; a box outer sealing surface formed on the inner periphery of the box to correspond to the pin outer sealing surface, the box outer sealing surface being in contact with the pin outer sealing surface when the connection has been made up; an inner female thread formed on the inner periphery of the box to correspond to the inner male thread, the inner female thread mating with the inner male thread when the connection has been made up; an outer female thread formed on the inner periphery of the box to correspond to the outer male thread, the outer female thread mating with the outer male thread when the connection has been made up; and a box shoulder surface formed on the inner periphery of the box to correspond to the pin shoulder surface, the box shoulder surface being in contact with the pin shoulder surface when the connection has been made up,