from osgeo import ogr

shapefile = ogr.Open( "shapfile.shp",1 )
layer=shapefile.GetLayerByIndex(0)
count=layer.GetFeatureCount()
for feature in range(count):
    layer.DeleteFeature(feature)

ogr2ogr output.shp input.shp -where "FID < 0"

import shapefile
r = shapefile.Reader("myshape")
w = shapefile.Writer(r.shapeType)
# This line will give us the same dbf schema
w.fields = r.fields
# Use the original bounding box as a place holder in the header
w.bbox = lambda: r.bbox
w.save("myshape")

w.bbox = lambda: [0.0, 0.0, 0.0, 0.0]