Tesla Inc. on Sunday said its global sales rose 69% in the first quarter, its best quarter of sales yet, putting the auto maker on a path to meet its goal of 50,000 deliveries in the first half of the year.

The Silicon Valley electric-car maker said it delivered roughly 25,000 vehicles—about 13,450 Model S sedans and about 11,550 Model X sport-utility vehicles—in the quarter, compared with a total of 14,820 a year earlier.

It...