A group of beautiful female aliens from the planet Angvia is sent on a mission to Earth to abduct human males and bring them back to their world, which is in desperate need of men. Disguised as nightclub hostesses, these aliens set up a base of operations in a London club, using their charms to lure unsuspecting men. A hapless scientist named Dr. Crow and his bumbling assistant Godfrey accidentally stumble upon their plan. As the women continue their mission, mysterious disappearances attract the attention of the authorities, prompting a police investigation led by the eccentric and skeptical Inspector Harris. The authorities are oblivious to the extraterrestrial threat, believing instead that a criminal gang is at large.

Dr. Crow becomes increasingly suspicious and decides to investigate further, leading to a series of comedic and adventurous events as he tries to expose and thwart the alien plot. With the aliens' seductive powers pitted against Crow's scientific wits, the situation grows increasingly chaotic, culminating in a confrontation at the nightclub. The story develops through various misunderstandings, slapstick humor, and whimsical discoveries, all while keeping the true identity of the abductors shrouded in secrecy from the clueless Earth authorities. As the investigation progresses, the film explores themes of curiosity, alien encounters, and the comical side of interplanetary relations.