A flying web splice apparatus (14) and method for splicing a moving web of material (16) to another web of material without tape or adhesives being used at the splice. Two splicer assemblies (12, 14) are provided, each of which has a series of vacuum belts (56, 76) and vacuum boxes (66, 86). The series of belts for each splicer assembly are preferably rotatable about a top pivot (62, 64) to bring a bottom portion of each series of belts together. In operation, one series of belts is driven by a motor (68, 88) to drag an initially-stationary web toward a pressure bonding mechanism (110, 114; 112, 116) at an end of the belts. By the time the initially-stationary web reaches the pressure bonding mechanism, the initially-stationary web is at the speed of the adjacent initially-moving web and can be precisely spliced thereto.