The 1935 International Lawn Tennis Challenge was the 30th edition of what is now known as the Davis Cup.

Due to increased political tensions in Europe, entries for the Europe Zone declined sharply, causing the qualifying round system to be scrapped.

Only 11 teams would enter the Europe Zone, with 17 teams entering the qualifying rounds; while six would enter the Americas Zone, 4 in North America and 2 in South America.

In the America Inter-Zonal Final the United States received a walkover due to Brazil's absence, while in the Europe Zone final Germany defeated Czechoslovakia.

The United States defeated Germany in the Inter-Zonal play-off, but would fall to Great Britain in the challenge round.