Binn has a population () of . , 2.7% of the population are resident foreign nationals. Over the last 10 years (1999–2009 ) the population has changed at a rate of -17.4%. It has changed at a rate of -22.1% due to migration and at a rate of 2.9% due to births and deaths. Most of the population () speaks
German (152 or 98.1%) as their first language,
Italian is the second most common (2 or 1.3%) and
French is the third (1 or 0.6%). Of the population in the municipality 85 or about 54.8% were born in Binn and lived there in 2000. There were 32 or 20.6% who were born in the same canton, while 26 or 16.8% were born somewhere else in Switzerland, and 10 or 6.5% were born outside of Switzerland. , there were 69 private households in the municipality, and an average of 2.2 persons per household. , a total of 67 apartments (35.8% of the total) were permanently occupied, while 97 apartments (51.9%) were seasonally occupied and 23 apartments (12.3%) were empty. Colors= id:lightgrey value:gray(0.9) id:darkgrey value:gray(0.8) ImageSize = width:960 height:210 PlotArea = height:150 left:100 bottom:50 right:100 AlignBars = justify DateFormat = x.y Period = from:0 till:250 TimeAxis = orientation:vertical AlignBars = justify ScaleMajor = gridcolor:darkgrey increment:50 start:0 ScaleMinor = gridcolor:lightgrey increment:10 start:0 PlotData= color:yellowgreen width:40 mark:(line,white) align:center bar:1850 from:start till:195 text:"195" bar:1860 from:start till:215 text:"215" bar:1870 from:start till:232 text:"232" bar:1880 from:start till:222 text:"222" bar:1888 from:start till:221 text:"221" bar:1900 from:start till:233 text:"233" bar:1910 from:start till:237 text:"237" bar:1920 from:start till:184 text:"184" bar:1930 from:start till:225 text:"225" bar:1941 from:start till:249 text:"249" bar:1950 from:start till:193 text:"193" bar:1960 from:start till:191 text:"191" bar:1970 from:start till:202 text:"202" bar:1980 from:start till:162 text:"162" bar:1990 from:start till:163 text:"163" bar:2000 from:start till:155 text:"155" bar:2018 from:start till:142 text:"142" ==Heritage sites of national significance==