An inflatable air pump having an inflatable and compressible frame that includes an upper inflatable frame portion, a lower inflatable frame and a plurality of inflatable frame connecting portions inflatable through an air inlet device. An inner bag includes a top region connected to the top inflatable frame portion and a bottom region connected to the bottom inflatable frame portion and configured to hold air. The top region has an opening that allows air to enter the inner bag. The inner bag has an air outlet device configured to attach to an inflatable device. A user places their palm at least partially over the opening and presses downward, pressing the top surface towards the bottom surface and partially compressing the plurality of inflatable frame connecting portions, thereby forcing air in the inner bag to exit the inner bag through the air outlet device, thereby inflating the inflatable device.