A lamp device includes a pivot ring disposed in a main sleeve and formed with two aligned first pivot shafts that extend radially and outwardly away from each other and that are mounted rotatably between the main sleeve and a rear connecting ring such that the pivot ring is pivotable relative to an assembly of the main sleeve and the rear connecting ring about the first pivot shafts. A lamp-mounting unit is disposed in the main sleeve, and is rotatable about two aligned second pivot shafts formed on the pivot ring and extending inwardly and radially toward each other and perpendicular to the first pivot shafts. A lamp unit is mounted fixedly on the lamp-mounting seat such that an assembly of the lamp-mounting seat and the lamp unit is pivotable relative to the pivot ring about the second pivot shafts.