这两个词中的suppress都有排除的意思：

motion to suppress排除非法证据的申请

在刑事诉讼中，对非法取得的证据，即违反联邦宪法第四条修正案关于禁止非法搜查与扣押的规定，或第五条修正案关于反对自我归罪特权的规定，或第六条修正案关于获得律师帮助权、与对方证人对质权等的规定而取得的证据，当事人可申请法庭将其排除。根据《联邦刑事诉讼规则》〔Fed.R.Crim.P.〕，当事人应在庭审前向初审法院提出此项申请。

A motion to suppress is a motion that revolves around the exclusion of evidence from trial. In the United States, a motion to suppress is a request made by a criminal defendant in advance of a criminal trial asking the court to exclude certain evidence from the trial. The proposed basis for the exclusion must be in the U.S. Constitution, a state constitution, or some specific statute that permits such evidence to be excluded.

但suppression of evidence中的suppression除有排除的意思（排除证据：指在庭审中法官对非法取得的证据裁决予以排除。）之外，还有隐匿的意思。

隐匿证据，指在刑事诉讼中拒绝提供证据或拒绝作证的行为。如果公诉方故意隐匿对被告人有利且不为被告人所知晓的重要证据，则构成违反正当程序〔due process〕。但在认定公诉方的行为是否构成隐匿证据时，则须依案件的具体情况来判断，如果该证据无证明价值〔probative value〕，或仅是补充证据〔cumulative evidence〕，或被告方与公诉方有同样的机会可取得该证据，则公诉方无义务向被告方披露该证据。

以下为相关双语示例，供参考：

If you have been charged with committing a crime, you must raise all possible defenses you can and take any other helpful steps to fight the charges against you. One way to do this is to file a motion to suppress evidence. This can be an extremely useful strategy in your criminal defense. However, you cannot expect to successfully file these motions on your own. You will need the help of an experienced criminal defense attorney.

如果你被指控犯罪，你必须尽可能地进行所有辩护，并采取其他有用的措施来反驳这些指控。其中一种方式就是提出排除证据的申请。这是刑事辩护中一项非常有用的策略。然而，你自己是无法成功提出申请的，在这个时候，你需要经验丰富的刑事辩护律师的帮助。