John P. Snyder, 38, a rural-training specialists with the Farmers Home Administration of the Agriculture Department, died Wednesday after a heart attack.

He was stricken while driving on Kenilworth Avenue NE and was pronounced dead at D.C. General Hospital. He lived in Crofton, Md.

Mr. Synder joined the FHA in April 1977. He directed its National Rural Development Leaders School, which holds seminars for FHA officials and rural leaders throughout the country.

Before coming here, he was program coordinator for community resources development programs in the New York State Cooperative Extension Service.

Mr. Snyder was born in Brackney, Pa. He was an agricultural economics graduate of Cornell University.

He served with the Peace Corps in India and later was a training coordinator in Central and South America, India and the Phillippines.

He is survived by his wife, Virginia-Lee, and two children, Molly Shannon and Edward John, of the home in Candor, N.Y.; his father, F. Kenneth, two brothers, James and Kevin, and two sisters, Kathleen Sion and Eileen Snyder, all of Buffalo, N.Y.

The family suggests the expressions of sympathy may be in the form of contributions to the Tioga County Boys Club in Oswego, N.Y.