WHITE PLAINS— The family of a 23-year-old woman from Peekskill who died a year ago after taking an Extra-Strength Tylenol capsule laced with cyanide sued its maker and a distributor yesterday for $94.5 million.

 

The suit charges the maker -Johnson & Johnson Inc. and its McNeil Consumer Products subsidiary - as well as the Great Atlantic & Pacific Tea Company, with manufacturing and distributing defective capsules and packages that had been described as ''tamperproof.''

 

A spokesman for Johnson & Johnson, Jim Murray, said, ''We are confident that the courts will not hold us responsible for the acts of an unknown murderer.''

 

A spokesman for A. & P. said it would have no comment on litigation.

 

The authorities have said they have very few clues in the inquiry.

 

Seven people in the Chicago area died in 1982 after taking Tylenol capsules poisoned with cyanide. Mr. Murray said that in response to those deaths the company had established a ''tamper-evident package that was triple-sealed, or two beyond what the law called for.'' Suits in the deaths are in pretrial discussions, he said.

 

After the death of the Westchester woman, Diane Elsroth, Johnson & Johnson stopped making Tylenol capsules, replacing them with caplets, or coated tablets.