What is the limit of King Salmon fishing in Alaska? Well the 2 rivers I fish, the Kenai and the Kasilof we have different regulations. Typically I do the majority of my fishing on the Kasilof. Because during the month of May and June We have a hatchery run of fish that come in and I am allowed to keep 2 per day. One wild and one hatchery. Or two hatchery. You can only keep wild Kings, Tuesday's, Thursday's and Saturday's. Then beginning in July The Kasilof goes to one fish per day, wild or hatchery. On the Kenai River it is always one fish per day. When retention is allowed..