An honest professional gambler operates a floating casino.
Mr. Lucky and his associate Andamo are forced to abandon their casino in Andamo's island country when the corrupt president learns that their yacht, the Fortuna, has been used by a group of revolutionaries to bring in arms.
Lucky and Andamo, penniless, crash a costume party aboard an enormous yacht, and Lucky turns it into a floating casino, the Fortuna II.
It seems that Bugsy McKenna is on the run from the mob. Not just any mob, one headed up by a well educated Mr. Henry Praisewater accompanied by his two henchman. Bugsy was given money to purchase land in the desert for a new hotel but he invested it in his name now they want his hide. He turns to his friend Mr. Lucky to hide him, but Praisewater is hot on Bugsy's tail. Mr. Lucky is caught by Praisewater, claiming Bugsy's not on his casino boat. A few minutes later Mr. Lucky literally steps on Bugsy, to his surprise. He tries to hide Bugsy in the hidden wine room but Bugsy gets drunk and escapes. To add to the chaos, Bugsy's wife is onboard and in order to protect her Lucky knocks her out, pretending she's some woman he's romancing. Bugsy, walking around the boat druink accidentally dropping a bottle of champagne on Praisewater's head. Now Bugsy's cover is blown. Praisewater beats up Lucky and his sidekick Andamo. Mrs. Bugsy wakes up, see's her husband about to be shot and grabs Lucky's
Lucky is on the lookout for counterfeit money when the police inform him that phony bills are being put into circulation from the Fortuna's port.
Lucky is challenged to a high stakes game of pool by a gambler who brings a pair of thugs with him to insure that he wins.
An ex-convict who can't handle the outside world seeks Mr. Lucky's help in returning to prison.
A woman devises an elaborate blackmail scheme to obtain money from her rich ex-employer to pay off a gambling debt to Mr. Lucky.
Lucky and Andamo find a missing heiress who has been living in poverty.
A pair of smugglers board the Fortuna, one to distract Mr. Lucky while the other hides gems on board.
Thieves seem particularly interested in stealing a check a lady gave Mr. Lucky to pay off a large gambling debt.
A wartime buddy sends Mr. Lucky a hideous painting for a birthday gift which the artist desperately wants back.
An insurance company is after Maggie to give her money inherited from an uncle, right after Mr. Lucky puts her into hiding since she witnessed a mob killing.
Mr. Lucky is informed that money he won gambling with a scar-faced man was stolen from a race track.
The police inform Mr. Lucky that they can't go after three elderly men who robbed the Fortuna, since it was outside the three mile limit when the crime occurred.
Andamo falls for a lady who boards the Fortuna in an effort to stop gambling there.
After Lucky decides to change the Fortuna from a gambling casino to a supper club, a woman who Lucky rescues when she attempts suicide asks him for a very large loan.
A gangster is pressuring a comedian who works on the Fortuna to quit his job.
Mr. Lucky gets some legal problems when he tries to intervene with the police, who are throwing his salad chef in prison for parole violations.
A businessman under investigation for tax fraud tries to place a similar rap on Mr. Lucky to keep the IRS investigator busy until he can fix his own books.
Lucky holds a charity boxing match on board the Fortuna.
Bandits set out to frame Mr. Lucky when he turns down their request to use the Fortuna as a getaway vehicle.
After a ruined poker player attempts suicide, Lucky sets out to find who has been using marked cards at a friend's club.
A lawyer in a custody battle over his daughter tries to smuggle her out of the country on the Fortuna.
Lucky hires himself a hit man to find out who is trying to kill him.
A known criminal tries stronger tactics when Mr. Lucky refuses to sell him the Fortuna for a ridiculous price.
Lucky runs for city council to try to oust the criminals who run the town.
Lucky is accused of a hit-and-run murder when he loans his car to a friend.
Lucky wins a lottery for which the prize is a date with a popular Hollywood actress who asks Lucky for help against blackmailers.
During the middle of the night a small boy is smuggled onto the Fortuna from a small fishing vessel.
A bungling waiter shows his appreciation by robbing Mr. Lucky after Lucky decides to give him one last chance instead of firing him.
A runaway heiress stows away on board the Fortuna, but a peculiar man is pursuing her.
Stowaways plan to enter the United States on board the Fortuna and once there spread pro-Nazi literature.
A woman who needs lots of money very quickly comes to Mr. Lucky for help.
A man who lost a large bet to Lucky over the outcome of a South American election tries to kill Mr. Lucky to avoid paying the debt.
