The invention provides construction equipment for concrete piles. The construction equipment comprises a rack, a power hammer and a stamping device, and is characterized in that the power hammer is arranged on an upright of the rack; the stamping device is arranged under the power hammer, and comprises an impact hammer, a hollow rod, a material conveying device and a grouting device, or the impact hammer, the hollow rod and the material conveying device, or the impact hammer, the hollow rod, the material conveying device, the grouting device and a diameter expanding part additionally arranged at the upper end of the hollow rod. The invention further provides a construction method which comprises the following steps: 1) aligning with a pile position; 2) beating the stamping device with the power hammer, so that soil is impacted downwards, extruded and expanded; 3) impacting and lubricating the soil with a high-pressure jet if the grouting device is available, or directly repeating the impacting operation if the grouting device is unavailable; 4) forming a pile hole when a set depth is reached, for example, the diameter expanding part forms an expanded diameter naturally; 5) when lifting the stamping device, conveying concrete in a pressurized manner, and pouring the concrete into the pipe hole; 6) lifting the stamping device out of the soil to form a concrete pile; and 7) inserting a reinforcing cage reversely when the construction method is used for formation of a pile foundation, and laying a cushion layer at the top of the pile when the construction method is used for formation of a composite foundation.