Alexander K. (Alex) Hancock, 79, the first director of finance in Montgomery County, died of myocardial disease Wednesday at the home of a daughter in Silver spring, where he had resided for the past 10 months.

At the time of his retirment in 1963, he was lauded by county officials for his services to the community. After his retirement, he served as a financial consultant.

Mr. Hancock, who was a certified public accountant and a lawyer in Georgia, was brought to Montgomery County in 1930 by a New York accounting firm to audit the county's business accounts.

He accepted an offer to become county auditor. In 1936, a "fusion" group of county commissioners failed to reappoint him and he went to New York, where he worked for an auditing firm untul 1939. He was brought back to his old job by a newly elected Democratic administration.

A year later, the title of Mr. Hancock's job was changed to county comptroller. When the charter form of government was adopted in 1950, he became director of finance. He served at times as acting county manager.

Under Mr. Hancock's direction, Montgomery County received a number of awards for the handling of financial matters.

In 1961, Mr. Hancock received a gold medal from the Municipal Finance Officers Association of the United States and Canada for devising a plan by which taxpayers could meet real estate levies by installments.

He was born in Savannah, Ga., where he received his training as a CPA and was admitted to the bar. He also was a member of the Maryland bar.

Mr. Hancock was an active member of the Rotary Club of Rockville for many years. In 1975, he was named a Paul Harris Fellow of the Rotary Foundation of Rotary International.

He was a published writer of poetry and music. His works included a book of poetry, "The City of Sacred Apes," dedicated to Washington, a collection of limericks, "Beastly Conclusions," and a song written for his daughters, "Our Secret Lullaby."

His wife, Florine Naramore Hancock, died in 1973.

He is survived by three daughters, Anne Hollmuller, of New Hyde Park, N.Y., Jeanne Palmer, of Potomac, and Charlotte Cooke, of Silver Spring; eight grandchildren and three great-grandchildren.

The family suggests that expressions of sympathy be in the form of contributions to the Rotary Foundation in care of the Rotary Club of Rockville.