In the town of Bedford, rain spoils the outdoor engagement party of music composer Jim Sanders to cosmetics model Patty Winston, forcing all the guests inside. Three masked robbers with machine guns storm the house. They gag Jim and kidnap him, throwing a grenade into the room as they escape. The guests rush outside for safety, but the grenade does not explode. A few moments later, the kidnappers phone the house, announcing that it was a rubber grenade and that the machine guns were water guns. The kidnappers are actually three of Jim’s best friends, George, Don, and Rex. They take Jim back to his apartment where they drink lots of beer and have their own party. In the early morning hours, Jim wakes up on the sofa to find water spilling into his apartment. He goes outside and sees a girl with wings lying in the swimming pool. He jumps in, lifts her out and takes her inside where he gives her mouth-to-mouth resuscitation, which revives her. The girl understands English, but is unable to speak. She finds that her right wing is broken and Jim offers to call a veterinarian. She kisses Jim and he kisses back, saying that since he is obviously dreaming, it is ok for them to kiss. The next morning, as Jim cleans up, he finds the girl still there. He is stunned to realize she is real and has wings. Just then, George, Don and Rex arrive. Jim tries to hide the girl, but they find her and see that she has wings. Jim and the guys go to a convenience store to get breakfast while discussing what they are going to do with the angel. His friends talk about concert appearances, movies, and television shows for her, but Jim gets upset at the idea of turning Angel into a circus sideshow. When he returns home, Jim uses a string to sew up Angel’s broken wing. She tries to kiss him, but he pulls away. Just then, Patty arrives, but storms out seeing Angel wrapped in a blanket standing in the bedroom doorway.
Jim takes Angel to a church where she feels at home, but her presence upsets someone who is praying. Jim goes into the confessional booth asking what to do with her, but the priest’s only advice is to take Angel to the Baptists. Later, Jim takes Angel to a fast food restaurant, where she loves the French fries. Jim leaves Angel in the car while he telephones Patty, who tells him to “drop dead.” Meanwhile, his friends spot his car in the parking lot and entice Angel with more French fries, hoping they can capture her. Jim chases them away and takes Angel back to his apartment. There, a Doberman pinscher tries to attack, but upon seeing Angel’s eyes, the dog becomes docile. Shortly after, Patty’s father, Ed Winston, arrives at Jim’s and makes threats. However, upon gazing into Angel’s face, he is mesmerized by her. Ed says that Jim and Angel make a wonderful couple. A few moments later, once he is out of Angel’s presence, Ed wonders what he was thinking to say that. The Doberman pinscher is no longer docile and bites Ed in the butt. The next day at Winston Cosmetics, the company which Ed owns, reports show their Ethereal Beauty line of cosmetics is not selling well and say Patty is the wrong person to be the face of the advertising campaign. Ed believes that Angel would be the perfect model for them, has a “face to die for,” and a complexion everyone would want. Meanwhile, George, Rex and Don go to a lawyer’s office with various idea for selling Angel-related merchandise, including bumper stickers, coffee mugs and tooth paste. Jim takes Angel to the library to show her books illustrating angels and other religious figures. She becomes excited seeing these images. Later, Jim takes Angel to Patty’s house to explain. Patty responds by throwing his belongings out the window, then turns the lawn sprinklers on. As Jim and Angel walk down the sidewalk, numerous animals are drawn to her. The next morning, George makes telephone calls inviting the media to a press conference the next day. Rex questions how they will get Angel there, but George says he has taken care of that. Shortly after, a delivery man brings a bouquet of balloons and roses to Patty’s house, with a note asking to meet Jim in the park at 8:00 p.m. Later, George telephones Jim, inviting him to meet them in the park for beers at 8:00 p.m. That night, Patty waits in the gazebo as Jim arrives with Angel. Seeing them together, Patty rushes off and Jim follows, leaving Angel behind. The guys capture Angel and stuff her into the trunk of a car. She coos for help and Jim rushes up just as they drive away. Jim drives all night looking for them. The next morning at the press conference, George brings a bound and gagged Angel out for the press to see, but before he can remove the ropes, Jim arrives and carries her off. She kisses him in gratitude. Jim takes her to an old treehouse deep in the woods to hide out. When Jim falls asleep, Angel, her wing now healed, takes flight and soars through the woods. A little later, she lands, puts the bandage back on her wing and returns to Jim. As the two sit by the campfire, he explains that his father was the person who got him interested in music. He enjoyed his work as a composer, but about six months ago, he started getting severe headaches and could no longer write music. About that time, he fell for Patty, who did not like the idea of marrying a composer, so he agreed to become a sales representative to provide them steady income. Jim tells Angel that he does feel something for her, but they cannot have a life together because she does not belong here on earth. The two dance to one of his compositions. Meanwhile, police find Jim’s car on the side of the road. Ed and Jim’s mother, Grace, search for them in the woods. Patty gets word of this, and also goes looking for them, as do George, Don and Rex. Jim takes the bandage off Angel’s wing and says she should leave before they capture her. She disappears in a cloud of angel dust. Just then, Patty arrives and punches Jim in the face. Suddenly, an invisible force punches Patty back, then kicks her to the ground. Jim realizes this is an invisible Angel. Ed, Grace and the guys arrive and Angel appears in the sky above them. She causes it to rain on Ed and Patty, then disappears into the sky. Just then, everyone notices that Jim has collapsed. They speed him to a hospital where the doctor declares that Jim has a cerebral tumor that causes his headaches. Angel appears in Jim’s hospital room. He believes she is there to take him to heaven. She kisses him, but he passes out. She wraps him in her arms. Shortly after that, George, Rex and Don come to check on Jim, saying they are worried he was going to die. A nurse who looks exactly like Angel tells them she has it on the highest authority that Jim will be around for a long time to come. When Jim wakes up, he recognizes the nurse as Angel, who can now speak. She tells him she got a leave of absence and they can now be together. She asks him to take her out for French fries. He scoops her in his arms and kisses her.