A cup-type container obtained by compression-forming a thermoplastic resin and including at least a flange portion, a body portion and a bottom portion, wherein a ratio (L/D) of the height of the container to the diameter of the opening is not less than 1.0, and if the direction of height of a test piece cut out from the body portion of the container is denoted by x and the circumferential direction thereof by y, a half-value width P at a half peak of a Miller index at a diffraction angle 2θ=14.5° that represents the diffraction by the crystal plane (110), is in a range of 1.25 to 1.5 over the whole body portion in a peak intensity profile in the direction of height (x-direction) of a Debye's ring obtained by measuring the diffraction intensities by causing the X-rays to be incident on an x-y plane of the test piece at right angles thereto. The cup-type container is evenly oriented in the direction of height of the container and in the circumferential direction thereof, has an even strength in all directions and has excellent heat resistance. The invention, further, provides a method of forming the cup-type container.