A frame for motorcycles includes a first frame section having a head pipe
portion that supports a front fork and a second frame section having a
pair of rear arm brackets that support a rear arm and are arranged away
from each other in a direction along a vehicle breadth. The first frame
section includes a gusset portion having a hollow closed, cross sectional
shape and formed with an opening, which is opened rearwardly of the head
pipe portion. The rear arm brackets, respectively, include a connection
end having a cross sectional shape to be opened inward in the direction
along the vehicle breadth, and extending toward the gusset portion. The
connection ends of the rear arm brackets are welded to an edge of the
opening of the gusset portion.