Lucretia Bitler Zabilsky, 76, the wife, the daughter and the sister of naval officers, died Tuesday at the Bethesda Nursing Center. She had cancer.

Mrs. Zabilsky was born in Norfolk. She spent much of her childhood in China while her father, Commodore Reuben O. Bitler, was stationed there. She was educated in Boston.

After she married John Zabilsky, now a retired Navy captain, she lived at various naval stations in the United States. During the 1940s and 1950s, she lived in Washington. The Zabilskys retired to Annapolis 11 years ago.

Mrs. Zabilsky first underwent surgery for cancer in 1977 at the Annapolis Naval Hospital. Her recovery was such that physicians persuaded her to meet other cancer patients there to cheer them up about their own treatment. She spent much time in this activity.

She also wrote serious and light verse for members of her family and painted.

In addition to her husband, of Annapolis, Mrs. Zabilsky's survivors include two daughters, Mae Scanlan and Frances Ogg, both of Washington; her brother, retired Navy Rear Adm. Worthington S. Bitler of Medford Leas, N.J., and four grandchildren.

The family suggests that expressions of sympathy be in for form of contributions to the American Cancer Society, or to one of its local chapters.