Quoted from "The History of the Khalifahs" by Jalal ad-Din as-Suyuti:
Ibn Asakir narrated that Ibn Abbas, may Allah be pleased with both of them, said: The Prophet, may Allah bless him and grant him peace, said, "There is no angel in the heaven that does not respect Umar, and no shaytan on the earth but that is afraid of Umar."
I heard this from many people. The book does not provide a source, and I could not find it in sunna.com Can anybody verity its authenticity?
There are several hadiths documented by Ibn 'Asakir about 'Umar and the Shaytan that are not found elsewhere in books of hadith, one of them is the hadith you quoted, and another about the Shaytan falling on his face whenever he meets 'Umar.
However, there are other hadiths about 'Umar with similar meanings, albeit different wording. One authentic hadith is in Sahih Al-Bukhari (partially quoted):
قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " إِيهٍ يَا ابْنَ الْخَطَّابِ، وَالَّذِي نَفْسِي بِيَدِهِ مَا لَقِيَكَ الشَّيْطَانُ سَالِكًا فَجًّا إِلاَّ سَلَكَ فَجًّا غَيْرَ فَجِّكَ
Allah's Messenger (ﷺ) said, "O' Ibn Al-Khattab! By Him in Whose Hands my life is, whenever Satan sees you taking a way, he follows a way other than yours!"
There is another hassan hadith in Jami' at-Tirmidhi with a similar meaning (partially quoted):
قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " إِنِّي لأَنْظُرُ إِلَى شَيَاطِينِ الإِنْسِ وَالْجِنِّ قَدْ فَرُّوا مِنْ عُمَرَ
The Messenger of Allah (ﷺ) said: "Indeed I see the Shayatin among men and jinn have run from 'Umar."
A third hadith (hassan, too) to the same effect is (partially quoted):
ثُمَّ دَخَلَ عُمَرُ فَأَلْقَتِ الدُّفَّ تَحْتَ اسْتِهَا ثُمَّ قَعَدَتْ عَلَيْهِ . فَقَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " إِنَّ الشَّيْطَانَ لَيَخَافُ مِنْكَ يَا عُمَرُ إِنِّي كُنْتُ جَالِسًا وَهِيَ تَضْرِبُ فَدَخَلَ أَبُو بَكْرٍ وَهِيَ تَضْرِبُ ثُمَّ دَخَلَ عَلِيٌّ وَهِيَ تَضْرِبُ ثُمَّ دَخَلَ عُثْمَانُ وَهِيَ تَضْرِبُ فَلَمَّا دَخَلْتَ أَنْتَ يَا عُمَرُ أَلْقَتِ الدُّفَّ
Then 'Umar entered, so she put the Duff under her, and sat upon it. So the Messenger of Allah (ﷺ) said: "Indeed Ash-Shaitan is afraid of you O 'Umar! I was sitting while she beat it, and then Abu Bakr entered while she was beating it, then 'Ali entered while she was beating it, then 'Uthman entered while she was beating it, then when you entered O 'Umar and she put away the Duff."
