We present the results to appear in The Astrophysical Journal , July 10 , 2008 , v. 681 of the analysis of the first 9 months of data of the Swift BAT survey of AGN in the 14 - 195 keV band . Using archival X-ray data or follow-up Swift XRT observations , we have identified 129 ( 103 AGN ) of 130 objects detected at |b| > 15 ^ { \circ } and with significance > 4.8 \sigma . One source remains unidentified . These same X-ray data have allowed measurement of the X-ray properties of the objects . We fit a power law to the \log N - \log S distribution , and find the slope to be 1.42 \pm 0.14 . Characterizing the differential luminosity function data as a broken power law , we find a break luminosity \log L _ { * } ( erg s ^ { -1 } ) = 43.85 \pm 0.26 , a low luminosity power law slope a = 0.84 ^ { +0.16 } _ { -0.22 } , and a high luminosity power law slope b = 2.55 ^ { +0.43 } _ { -0.30 } , similar to the values that have been reported based on INTEGRAL data . We obtain a mean photon index 1.98 in the 14 - 195 keV band , with an rms spread of 0.27 . Integration of our luminosity function gives a local volume density of AGN above 10 ^ { 41 } erg s ^ { -1 } of 2.4 \times 10 ^ { -3 } Mpc ^ { -3 } , which is about 10 % of the total luminous local galaxy density above M _ { * } = -19.75 . We have obtained X-ray spectra from the literature and from Swift XRT follow-up observations . These show that the distribution of \log \ > n _ { H } is essentially flat from n _ { H } = 10 ^ { 20 } cm ^ { -2 } to 10 ^ { 24 } cm ^ { -2 } , with 50 % of the objects having column densities of less than 10 ^ { 22 } cm ^ { -2 } . BAT Seyfert galaxies have a median redshift of 0.03 , a maximum \log luminosity of 45.1 , and approximately half have \log n _ { H } > 22 .