Let's call the number of hits that Derek Jeter had "x". We are told that Suzuki had 13 more hits than Jeter, so Suzuki had x + 13 hits. We are also told that the total number of hits for both players was 437, so x + (x + 13) = 437. We can simplify this equation to 2x + 13 = 437. Subtracting 13 from both sides, we get 2x = 424. Dividing both sides by 2, we find that x = 212. This means that Derek Jeter had 212 hits. Since Suzuki had 13 more hits than Jeter, he had 212 + 13 = 225 hits. Therefore, Ichiro Suzuki had 225 hits and Derek Jeter had 212 hits.