Here's the top 50 as of the end of 2005: Which also includes the Washington Senators from 1961 to 1971. TEXAS RANGERS SEASON HOMERUNS YEAR HR 1 Alex Rodriguez 2002 57 2 Alex Rodriguez 2001 52 3 Frank Howard 1969 48 T4 Rafael Palmeiro 1999 47 T4 Alex Rodriguez 2003 47 T4 Rafael Palmeiro 2001 47 T4 Juan Gonzalez 1996 47 8 Juan Gonzalez 1993 46 9 Juan Gonzalez 1998 45 T10 Frank Howard 1970 44 T10 Frank Howard 1968 44 T12 Mark Teixeira 2005 43 T12 Rafael Palmeiro 2002 43 T12 Juan Gonzalez 1992 43 15 Juan Gonzalez 1997 42 T16 Juan Gonzalez 1999 39 T16 Rafael Palmeiro 2000 39 T18 Dean Palmer 1996 38 T18 Rafael Palmeiro 2003 38 T18 Mark Teixeira 2004 38 21 Rafael Palmeiro 1993 37 T22 Frank Howard 1967 36 T22 Alfonso Soriano 2005 36 24 Ivan Rodriguez 1999 35 25 Dean Palmer 1993 33 T26 Hank Blalock 2004 32 T26 Larry Parrish 1987 32 T26 Mickey Tettleton 1995 32 29 Jose Canseco 1994 31 T30 Pete Incaviglia 1986 30 T30 Mike Epstein 1969 30 T30 Jeff Burroughs 1973 30 T30 Ruben Sierra 1987 30 T34 Bobby Bonds 1978 29 T34 Ruben Sierra 1989 29 T34 Jeff Burroughs 1975 29 T34 David Dellucci 2005 29 T34 Hank Blalock 2003 29 T39 Don Lock 1964 28 T39 Larry Parrish 1986 28 T39 Alfonso Soriano 2004 28 T42 Pete Incaviglia 1987 27 T42 Ivan Rodriguez 2000 27 T42 Toby Harrah 1977 27 T42 Juan Gonzalez 1991 27 T42 Don Lock 1963 27 T42 Juan Gonzalez 1995 27 T48 Kevin Mench 2004 26 T48 Rusty Greer 1997 26 T48 Frank Howard 1971 26 T48 Rafael Palmeiro 1991 26 T48 Dean Palmer 1992 26 T48 Larry Parrish 1983 26 T48 Mark Teixeira 2003 26