Which Rabbinical supervision does the hotel have?
From their website (which also has a photo of the current certificate of kashrut):
It is our pleasure to host you. Our hotel is noted for its very strict high-level Kashruth which is supervised by Rabbi Joseph Chaim Rosenblatt, Rabbi of the Lower Galilee.
INFORMATION CONCERNING THE OBSERVANCE OF KASHRUT IN LAVI KIBBUTZ HOTEL:
We have an exclusively Jewish kitchen staff, which consists mainly of observant, G-D fearing “Shomer Shabbat” Jews.
All the products and ingredients, with the exception of poultry, meat, and dairy products, have one of three hechshers: Eda Charedit, Rabbi Rubin, Rabbi Landau.
All leafy vegetables are insect-free products with Eda Charedit / Rubin Hechsher. They undergo an additional inspection and washing, according to Badatz instructions.
All dairy products are under Mehadrin supervision, including that of the Mehadrin committee of Tnuva led by Rabbi Witman. (Some of the products are made locally with the above Mehadrin hechsher.)
Bread and rolls are supplied by bakeries under the supervision of Badatz Eda Charedit, Rav Rubin & Rav Landau.
Products baked in our own kitchen – Flour is sifted by a machine which meets the standards of the most meticulous kashrut requirements and challa is set aside as required.
We have a special mashgiach on the premises to supervise the meticulous inspection of all products entering the kitchen – including legumes, nuts and all whole condiments.
The meat served in the Hotel is imported with Chalak Mehadrin hechsher of the Chief Rabbinate, in accordance with the severe restrictions of Maran Bet Yoseph.
Poultry products are from the “Off Tov” abbatoir, under the complete supervision of Rabbi A.D. Auerbach of Tiberias confirmed by the Hotel Rabbis.
One may order in advance meat and poultry products with the hechsher of Rav Rubin.
It is not permitted to bring food or beverages from outside the hotel to the hotel restaurant & the bar area.
Any questions should be directed to the Hotel Mashgiach, Yakov Chayun, tel. 050-3231174
it's glatt kosher.
Their website is very clear. They do not have a Badatz or Aguda hechsher but almost all of their products, except meat & poultry are mehadrin. As for the meat and poultry, they clearly explain who those products are given the hechsher by.
I assume you're asking about the Kashrut? If so, the website has the details - I can't recall the specifics at this point - but I can tell you that 1) there are a few they use including some stringent private ones for their meats and 2) my son, who is strict, was very comfortable with the Kashrut here.
Get an answer from Kibbutz Lavi Hotel staff and past guests.