Someone Who Says Tehillim Every Day
15. If someone always says Tehillim every day, e.g., by the day of the month, the day of the week, one sefer daily, or the whole Sefer Tehillim daily, he may continue on Shabbos and Yom Tov. This Tehillim is part of regular songs and praises to Hashem, not a form of making personal requests.
16. 40-day commitment. Similarly, one who took it upon himself to say Tehillim as a zechus for something may continue to say Tehillim on Shabbos. He should have in mind the one who needs the zechus, but he should not mention him by name.
During Tosefes Shabbos
17. During the time added before and after Shabbos, one may say Tehillim in any manner, even mentioning the subject’s name (ע''פ פמ''ג סי' רצ''ג משב''ז סק''א, פסקי תשובות סי' רפ''ח אות ו').
“Yehi Ratzon” after Tehillim
18. On Shabbos, one should not say the special Yehi Ratzon said before reciting Tehillim or the Yehi Ratzon said after completing one of the sefarim of Tehillim or the entire Sefer Tehillim. One may say the special Yehi Ratzon meant for Shabbos and Yom Tov after saying Tehillim, but not the weekday Yehi Ratzon. For someone who is dangerously ill, the Yehi Ratzon may be said.