SeaWorld Entertainment Inc. said its earnings fell 84% in its quarter ended in June—traditionally one of its strongest—as attendance dropped following record Texas rainfall and continued challenges in California.

The Florida-based company typically generates its biggest revenue during the second and third quarters, which include the prime spring and summer vacation months. In the most recent quarter, attendance decreased by 1.6% as revenue per capital fell 1.8%.

"Our attendance for the second quarter declined due to the timing of Easter, record levels of rainfall in Texas and continued brand challenges in California. These factors were partially offset by improved demand in our other park locations, including Florida," Chief Executive Joel Manby said. The company said it would have two new coaster additions for 2016 and is focused on resolving its "brand challenges" in California.

SeaWorld has struggled to counteract negative media attention and pressure from animal-rights groups over its treatment of killer whales following the 2013 documentary "Blackfish," which shed an unflattering light on the company's methods. For its part, the company has defended itself from the accusations, while pledging to improve its facilities for the animals.

The company expects to benefit from favorable calendar timing for the end of the year.

SeaWorld, which also operates parks under the Busch Gardens brand name, unveiled a restructuring plan in December that includes 300 job cuts and an intention to cut $50 million a year in costs. Mr. Manby became its new chief executive on April 7.

Overall, SeaWorld reported a profit of $5.8 million, or 7 cents a share, down from $37.4 million, or 43 cents a share, a year earlier. Excluding special items, per-share earnings were 22 cents.

Revenue fell to $391.6 million from $405.1 million.

Analysts had expected earnings of 39 cents a share on $398 million in revenue.

Shares, inactive premarket, have fallen 19% in the past three months through Wednesday's close.

Write to Angela Chen at angela.chen@wsj.com

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