The Los Angeles Film Festival has just announced its roster for 2010, and screening premiere of The Twilight Saga: Eclipse is on it.

Here's the relevant section of the press release:

The Festival will host the invitation-only world premiere of Summit Entertainment's The Twilight Saga: Eclipse on June 24 at Nokia Theatre L.A. Live. Details for
the screening can be found at LAFilmFest.com. The film is directed by David Slade and stars Kristen
Stewart, Robert Pattinson, Taylor Lautner, Ashley
Greene, Billy Burke, Peter Facinelli, Elizabeth
Reaser, Nikki Reed, Kellan Lutz, Jackson
Rathbone, and Dakota Fanning. In Eclipse,
Bella once again finds herself surrounded by danger as Seattle is ravaged by a string of mysterious
killings, and a malicious vampire continues her quest for revenge. In
the midst of it all, she is forced to choose between her love for Edward
and her friendship with Jacob, knowing that her decision has the
potential to ignite the struggle between vampire and werewolf. The
Twilight Saga: Eclipse opens nationwide on June
30, 2010.

UPDATE!!!!!!!

Per Summit Entertainment this is not the red carpet premiere. Red carpet is still Grauman's unless that changes.

How to get tickets to the screening????

Larry411 is saying that tickets can be bought in a certain package for the Eclipse screening. No price listed.

Q: What about The Twilight Saga: Eclipse?

A: The Twilight Saga: Eclipse premiere IS the official World
Premiere. Festival passes are going on sale on May 10th, and the
Industry and Fast Pass levels will include tickets to Eclipse in
those packages, while supplies last. There were red carpets with
those premieres in 2008 and 2009. In fact, those screenings were held at
the same locations as the Twilight and New Moon premieres
and the same blocks were roped off. But that's because LAFF was in
Westwood before. Now it's centered downtown. But I think it's safe to
assume there WILL be a red carpet. I WILL be posting more details as I
get them.

Q: How do I get tickets?

A: Passes to attend the Festival are available immediately for Film
Independent members, and beginning May 10 for the general public. In
addition to screenings and events, Festival passes provide access to a
series of networking receptions and entry to the ZonePerfect
live.create. lounge, where Festival pass holders can interact with
Festival filmmakers and professionals in the film community. General
admission tickets to individual films go on sale beginning June 1.
Contact the Festival Ticketing Center for passes, tickets and event
information by calling 866.FILM.FEST (866.345-6337) or visit LAFilmFest.com.
Festival Passes and tickets can also be purchased in person beginning
on Monday, June 14 at the Festival Ticketing Center located at L.A. LIVE
(800 W. Olympic Blvd., Los Angeles, CA 90015).

Source

press release via twiexaminer