Kerry Wood of the Chicago Cubs sets the major league record for strikeouts in consecutive games (33) by fanning 13 Arizona Diamondbacks in a 4 – 2 victory. The record for strikeouts in two starts had been 32, set by Luis Tiant in 1968 and matched by Nolan Ryan (1974), Dwight Gooden (1984) and Randy Johnson (1997).

On May 11, 1998 — Kerry Wood of the Chicago Cubs sets the major league record for strikeouts in consecutive games (33) by fanning 13 Arizona Diamondbacks in a 4 – 2 victory. The record for strikeouts in two starts had been 32, set by Luis Tiant in 1968 and matched by Nolan Ryan (1974), Dwight Gooden (1984) and Randy Johnson (1997).

Source:
Baseball Reference May 11